845754755139360 has 864 divisors, whose sum is σ = 3383496178289136. Its totient is φ = 191562144153600.

The previous prime is 845754755139353. The next prime is 845754755139367. The reversal of 845754755139360 is 63931557457548.

845754755139360 is a `hidden beast` number, since 8 + 4 + 5 + 7 + 5 + 4 + 7 + 551 + 3 + 9 + 3 + 60 = 666.

845754755139360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (845754755139353) and next prime (845754755139367).

It can be written as a sum of positive squares in 8 ways, for example, as 222357126782736 + 623397628356624 = 14911644^2 + 24967932^2 .

It is a super-2 number, since 2×845754755139360² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (845754755139367) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 404762890 + ... + 406847030.

Almost surely, 2^{845754755139360} is an apocalyptic number.

845754755139360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845754755139360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691748089144568).

845754755139360 is an abundant number, since it is smaller than the sum of its proper divisors (2537741423149776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

845754755139360 is a wasteful number, since it uses less digits than its factorization.

845754755139360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084338 (or 2084316 counting only the distinct ones).

The product of its (nonzero) digits is 1905120000, while the sum is 72.

The spelling of 845754755139360 in words is "eight hundred forty-five trillion, seven hundred fifty-four billion, seven hundred fifty-five million, one hundred thirty-nine thousand, three hundred sixty".