350610944753664 has 1683 divisors, whose sum is σ = 1252660655947383. Its totient is φ = 97844914814976.

The previous prime is 350610944753633. The next prime is 350610944753717. The reversal of 350610944753664 is 466357449016053.

The square root of 350610944753664 is 18724608.

It is a perfect power (a square), and thus also a powerful number.

350610944753664 is a `hidden beast` number, since 3 + 5 + 0 + 6 + 1 + 0 + 94 + 4 + 7 + 536 + 6 + 4 = 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 98 ways as a sum of consecutive naturals, for example, 8153742901227 + ... + 8153742901269.

Almost surely, 2^{350610944753664} is an apocalyptic number.

350610944753664 is the 18724608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350610944753664

350610944753664 is an abundant number, since it is smaller than the sum of its proper divisors (902049711193719).

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

350610944753664 is an frugal number, since it uses more digits than its factorization.

350610944753664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 350610944753664 in words is "three hundred fifty trillion, six hundred ten billion, nine hundred forty-four million, seven hundred fifty-three thousand, six hundred sixty-four".