901412925124608 has 520 divisors, whose sum is σ = 2910948477500448. Its totient is φ = 276302882930688.

The previous prime is 901412925124573. The next prime is 901412925124661. The reversal of 901412925124608 is 806421529214109.

901412925124608 is a `hidden beast` number, since 9 + 0 + 1 + 4 + 1 + 2 + 9 + 2 + 5 + 1 + 24 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1133944816 + ... + 1134739472.

Almost surely, 2^{901412925124608} 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 901412925124608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455474238750224).

901412925124608 is an abundant number, since it is smaller than the sum of its proper divisors (2009535552375840).

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

901412925124608 is a wasteful number, since it uses less digits than its factorization.

901412925124608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794969 (or 794938 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 901412925124608 in words is "nine hundred one trillion, four hundred twelve billion, nine hundred twenty-five million, one hundred twenty-four thousand, six hundred eight".