386893952064 has 315 divisors, whose sum is σ = 1176137609493. Its totient is φ = 125755089408.

The previous prime is 386893952051. The next prime is 386893952087. The reversal of 386893952064 is 460259398683.

The square root of 386893952064 is 622008.

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

386893952064 is a `hidden beast` number, since 38 + 6 + 8 + 9 + 395 + 206 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 278910734400 + 107983217664 = 528120^2 + 328608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 386893951992 and 386893952010.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2373582447 + ... + 2373582609.

Almost surely, 2^386893952064 is an apocalyptic number.

386893952064 is the 622008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386893952064

386893952064 is an abundant number, since it is smaller than the sum of its proper divisors (789243657429).

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

386893952064 is an frugal number, since it uses more digits than its factorization.

386893952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 386893952064 in words is "three hundred eighty-six billion, eight hundred ninety-three million, nine hundred fifty-two thousand, sixty-four".