189307120464 has 960 divisors, whose sum is σ = 752911810560. Its totient is φ = 44526620160.

The previous prime is 189307120447. The next prime is 189307120477. The reversal of 189307120464 is 464021703981.

189307120464 is a `hidden beast` number, since 1 + 89 + 307 + 1 + 204 + 64 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130826589 + ... + 130828035.

It is an arithmetic number, because the mean of its divisors is an integer number (784283136).

Almost surely, 2^189307120464 is an apocalyptic number.

189307120464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189307120464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376455905280).

189307120464 is an abundant number, since it is smaller than the sum of its proper divisors (563604690096).

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

189307120464 is a wasteful number, since it uses less digits than its factorization.

189307120464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 189307120464 in words is "one hundred eighty-nine billion, three hundred seven million, one hundred twenty thousand, four hundred sixty-four".