351711711711360 has 3072 divisors, whose sum is σ = 1673974488775680. Its totient is φ = 65691648000000.

The previous prime is 351711711711343. The next prime is 351711711711517. The reversal of 351711711711360 is 63117117117153.

351711711711360 is a `hidden beast` number, since 3 + 5 + 1 + 7 + 117 + 1 + 171 + 1 + 360 = 666.

It is a super-2 number, since 2×351711711711360² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35522842410 + ... + 35522852310.

It is an arithmetic number, because the mean of its divisors is an integer number (544913570565).

Almost surely, 2^{351711711711360} is an apocalyptic number.

351711711711360 is a gapful number since it is divisible by the number (30) 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 351711711711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836987244387840).

351711711711360 is an abundant number, since it is smaller than the sum of its proper divisors (1322262777064320).

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

351711711711360 is a wasteful number, since it uses less digits than its factorization.

351711711711360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10119 (or 10104 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 45.

The spelling of 351711711711360 in words is "three hundred fifty-one trillion, seven hundred eleven billion, seven hundred eleven million, seven hundred eleven thousand, three hundred sixty".