351854512416 has 384 divisors, whose sum is σ = 1153923563520. Its totient is φ = 103380019200.

The previous prime is 351854512349. The next prime is 351854512459. The reversal of 351854512416 is 614215458153.

351854512416 is a `hidden beast` number, since 3 + 5 + 185 + 4 + 51 + 2 + 416 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65071185 + ... + 65076591.

It is an arithmetic number, because the mean of its divisors is an integer number (3005009280).

Almost surely, 2^351854512416 is an apocalyptic number.

351854512416 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 351854512416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576961781760).

351854512416 is an abundant number, since it is smaller than the sum of its proper divisors (802069051104).

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

351854512416 is a wasteful number, since it uses less digits than its factorization.

351854512416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645 (or 5631 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The spelling of 351854512416 in words is "three hundred fifty-one billion, eight hundred fifty-four million, five hundred twelve thousand, four hundred sixteen".