351357517056 has 576 divisors, whose sum is σ = 1186863480320. Its totient is φ = 89818398720.

The previous prime is 351357517037. The next prime is 351357517057. The reversal of 351357517056 is 650715753153.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 351357516996 and 351357517014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351357517057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311210700 + ... + 311211828.

Almost surely, 2^351357517056 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 351357517056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593431740160).

351357517056 is an abundant number, since it is smaller than the sum of its proper divisors (835505963264).

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

351357517056 is a wasteful number, since it uses less digits than its factorization.

351357517056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 1653750, while the sum is 48.

The spelling of 351357517056 in words is "three hundred fifty-one billion, three hundred fifty-seven million, five hundred seventeen thousand, fifty-six".