351977852706816 has 448 divisors, whose sum is σ = 1156622143057920. Its totient is φ = 92948453130240.

The previous prime is 351977852706751. The next prime is 351977852706833. The reversal of 351977852706816 is 618607258779153.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×351977852706816² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132699705 + ... + 135326151.

It is an arithmetic number, because the mean of its divisors is an integer number (2581745855040).

Almost surely, 2^{351977852706816} 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 351977852706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578311071528960).

351977852706816 is an abundant number, since it is smaller than the sum of its proper divisors (804644290351104).

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

351977852706816 is a wasteful number, since it uses less digits than its factorization.

351977852706816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626543 (or 2626519 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 75.

The spelling of 351977852706816 in words is "three hundred fifty-one trillion, nine hundred seventy-seven billion, eight hundred fifty-two million, seven hundred six thousand, eight hundred sixteen".