351916887168 has 1280 divisors, whose sum is σ = 1361514147840. Its totient is φ = 87602135040.

The previous prime is 351916887131. The next prime is 351916887187. The reversal of 351916887168 is 861788619153.

351916887168 is a `hidden beast` number, since 351 + 91 + 68 + 87 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3114308680 + ... + 3114308792.

It is an arithmetic number, because the mean of its divisors is an integer number (1063682928).

Almost surely, 2^351916887168 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 351916887168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680757073920).

351916887168 is an abundant number, since it is smaller than the sum of its proper divisors (1009597260672).

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

351916887168 is a wasteful number, since it uses less digits than its factorization.

351916887168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 266 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The spelling of 351916887168 in words is "three hundred fifty-one billion, nine hundred sixteen million, eight hundred eighty-seven thousand, one hundred sixty-eight".