351318516048 has 120 divisors (see below), whose sum is σ = 989411554560. Its totient is φ = 116369084160.

The previous prime is 351318516041. The next prime is 351318516061. The reversal of 351318516048 is 840615813153.

351318516048 is a `hidden beast` number, since 3 + 5 + 1 + 31 + 8 + 5 + 1 + 604 + 8 = 666.

351318516048 is nontrivially palindromic in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 351318515994 and 351318516012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351318516041) 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, 15168765 + ... + 15191907.

It is an arithmetic number, because the mean of its divisors is an integer number (8245096288).

Almost surely, 2^351318516048 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 351318516048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494705777280).

351318516048 is an abundant number, since it is smaller than the sum of its proper divisors (638093038512).

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

351318516048 is a wasteful number, since it uses less digits than its factorization.

351318516048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23817 (or 23808 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 351318516048 in words is "three hundred fifty-one billion, three hundred eighteen million, five hundred sixteen thousand, forty-eight".