351595645056 has 640 divisors, whose sum is σ = 1135341567360. Its totient is φ = 107614863360.

The previous prime is 351595645033. The next prime is 351595645097. The reversal of 351595645056 is 650546595153.

351595645056 is a `hidden beast` number, since 3 + 5 + 1 + 595 + 6 + 45 + 0 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 351595644993 and 351595645011.

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, 1942517286 + ... + 1942517466.

It is an arithmetic number, because the mean of its divisors is an integer number (1773971199).

Almost surely, 2^351595645056 is an apocalyptic number.

351595645056 is a gapful number since it is divisible by the number (36) 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 351595645056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567670783680).

351595645056 is an abundant number, since it is smaller than the sum of its proper divisors (783745922304).

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

351595645056 is a wasteful number, since it uses less digits than its factorization.

351595645056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 12150000, while the sum is 54.

The spelling of 351595645056 in words is "three hundred fifty-one billion, five hundred ninety-five million, six hundred forty-five thousand, fifty-six".