351879518016 has 168 divisors, whose sum is σ = 1091646483200. Its totient is φ = 107726091264.

The previous prime is 351879517967. The next prime is 351879518041. The reversal of 351879518016 is 610815978153.

It is a happy number.

351879518016 is a `hidden beast` number, since 3 + 51 + 8 + 79 + 518 + 0 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1372041 + ... + 1608183.

Almost surely, 2^351879518016 is an apocalyptic number.

351879518016 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 351879518016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545823241600).

351879518016 is an abundant number, since it is smaller than the sum of its proper divisors (739766965184).

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

351879518016 is a wasteful number, since it uses less digits than its factorization.

351879518016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236373 (or 236360 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 351879518016 in words is "three hundred fifty-one billion, eight hundred seventy-nine million, five hundred eighteen thousand, sixteen".