351521353020096 has 168 divisors, whose sum is σ = 1152049282753824. Its totient is φ = 100387759656960.

The previous prime is 351521353020091. The next prime is 351521353020217. The reversal of 351521353020096 is 690020353125153.

351521353020096 is a `hidden beast` number, since 3 + 5 + 1 + 5 + 2 + 1 + 3 + 530 + 20 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 not an unprimeable number, because it can be changed into a prime (351521353020091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11727805 + ... + 28992828.

It is an arithmetic number, because the mean of its divisors is an integer number (6857436206868).

Almost surely, 2^{351521353020096} is an apocalyptic number.

351521353020096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

351521353020096 is an abundant number, since it is smaller than the sum of its proper divisors (800527929733728).

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

351521353020096 is a wasteful number, since it uses less digits than its factorization.

351521353020096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40722799 (or 40722786 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 351521353020096 in words is "three hundred fifty-one trillion, five hundred twenty-one billion, three hundred fifty-three million, twenty thousand, ninety-six".