845274051072 has 800 divisors, whose sum is σ = 2823440716800. Its totient is φ = 249628262400.

The previous prime is 845274051047. The next prime is 845274051173. The reversal of 845274051072 is 270150472548.

845274051072 is a `hidden beast` number, since 8 + 4 + 5 + 27 + 40 + 510 + 72 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4425518497 + ... + 4425518687.

It is an arithmetic number, because the mean of its divisors is an integer number (3529300896).

Almost surely, 2^845274051072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845274051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411720358400).

845274051072 is an abundant number, since it is smaller than the sum of its proper divisors (1978166665728).

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

845274051072 is a wasteful number, since it uses less digits than its factorization.

845274051072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 845274051072 in words is "eight hundred forty-five billion, two hundred seventy-four million, fifty-one thousand, seventy-two".