45017968786560 has 4096 divisors, whose sum is σ = 220305899520000. Its totient is φ = 8400647946240.

The previous prime is 45017968786529. The next prime is 45017968786601. The reversal of 45017968786560 is 6568786971054.

45017968786560 is a `hidden beast` number, since 4 + 50 + 1 + 7 + 9 + 6 + 8 + 7 + 8 + 6 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 80822205802 + ... + 80822206358.

It is an arithmetic number, because the mean of its divisors is an integer number (53785620000).

Almost surely, 2^{45017968786560} is an apocalyptic number.

45017968786560 is a gapful number since it is divisible by the number (40) 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 45017968786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110152949760000).

45017968786560 is an abundant number, since it is smaller than the sum of its proper divisors (175287930733440).

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

45017968786560 is a wasteful number, since it uses less digits than its factorization.

45017968786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 45017968786560 in words is "forty-five trillion, seventeen billion, nine hundred sixty-eight million, seven hundred eighty-six thousand, five hundred sixty".