368925041664 has 693 divisors, whose sum is σ = 1199380759857. Its totient is φ = 113353924608.

The previous prime is 368925041657. The next prime is 368925041671. The reversal of 368925041664 is 466140529863.

The square root of 368925041664 is 607392.

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

368925041664 is a `hidden beast` number, since 3 + 68 + 9 + 2 + 504 + 16 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (368925041657) and next prime (368925041671).

It can be written as a sum of positive squares in only one way, i.e., 330119193600 + 38805848064 = 574560^2 + 196992^2 .

It is a super-2 number, since 2×368925041664² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 368925041664.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 9970947054 + ... + 9970947090.

Almost surely, 2^368925041664 is an apocalyptic number.

368925041664 is the 607392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368925041664

368925041664 is an abundant number, since it is smaller than the sum of its proper divisors (830455718193).

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

368925041664 is an frugal number, since it uses more digits than its factorization.

368925041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 368925041664 in words is "three hundred sixty-eight billion, nine hundred twenty-five million, forty-one thousand, six hundred sixty-four".