389390976144 has 135 divisors (see below), whose sum is σ = 1100269391403. Its totient is φ = 128556456192.

The previous prime is 389390976133. The next prime is 389390976151. The reversal of 389390976144 is 441679093983.

The square root of 389390976144 is 624012.

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

389390976144 is a `hidden beast` number, since 3 + 8 + 9 + 3 + 9 + 0 + 9 + 7 + 614 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14259225744 + 375131750400 = 119412^2 + 612480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1115733282 + ... + 1115733630.

Almost surely, 2^389390976144 is an apocalyptic number.

389390976144 is the 624012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389390976144

389390976144 is an abundant number, since it is smaller than the sum of its proper divisors (710878415259).

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

389390976144 is an equidigital number, since it uses as much as digits as its factorization.

389390976144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 389390976144 in words is "three hundred eighty-nine billion, three hundred ninety million, nine hundred seventy-six thousand, one hundred forty-four".