805555746741312 has 896 divisors, whose sum is σ = 2825554336281600. Its totient is φ = 220268873318400.

The previous prime is 805555746741247. The next prime is 805555746741323. The reversal of 805555746741312 is 213147647555508.

805555746741312 is a `hidden beast` number, since 8 + 0 + 5 + 5 + 5 + 574 + 6 + 7 + 41 + 3 + 12 = 666.

It is a super-2 number, since 2×805555746741312² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 805555746741312.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11283996114 + ... + 11284067502.

It is an arithmetic number, because the mean of its divisors is an integer number (3153520464600).

Almost surely, 2^{805555746741312} is an apocalyptic number.

805555746741312 is a gapful number since it is divisible by the number (82) 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 805555746741312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412777168140800).

805555746741312 is an abundant number, since it is smaller than the sum of its proper divisors (2019998589540288).

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

805555746741312 is a wasteful number, since it uses less digits than its factorization.

805555746741312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71892 (or 71876 counting only the distinct ones).

The product of its (nonzero) digits is 141120000, while the sum is 63.

The spelling of 805555746741312 in words is "eight hundred five trillion, five hundred fifty-five billion, seven hundred forty-six million, seven hundred forty-one thousand, three hundred twelve".