389136420864 has 455 divisors, whose sum is σ = 1231551031043. Its totient is φ = 122885185536.

The previous prime is 389136420811. The next prime is 389136420887. The reversal of 389136420864 is 468024631983.

The square root of 389136420864 is 623808.

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

389136420864 is a `hidden beast` number, since 3 + 8 + 9 + 136 + 420 + 86 + 4 = 666.

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

It is a Duffinian number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 389136420864 = 912³ + 7296³ = 4104³ + 6840³.

It is a self number, because there is not a number n which added to its sum of digits gives 389136420864.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 20480864247 + ... + 20480864265.

Almost surely, 2^389136420864 is an apocalyptic number.

389136420864 is the 623808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389136420864

389136420864 is an abundant number, since it is smaller than the sum of its proper divisors (842414610179).

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

389136420864 is an frugal number, since it uses more digits than its factorization.

389136420864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

It can be divided in two parts, 389136 and 420864, that added together give a 4-th power (810000 = 30⁴).

The spelling of 389136420864 in words is "three hundred eighty-nine billion, one hundred thirty-six million, four hundred twenty thousand, eight hundred sixty-four".