189130443264 has 800 divisors, whose sum is σ = 719406990720. Its totient is φ = 48157949952.

The previous prime is 189130443259. The next prime is 189130443287. The reversal of 189130443264 is 462344031981.

189130443264 is a `hidden beast` number, since 1 + 89 + 1 + 304 + 4 + 3 + 264 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93767184 + ... + 93769200.

Almost surely, 2^189130443264 is an apocalyptic number.

189130443264 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 189130443264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359703495360).

189130443264 is an abundant number, since it is smaller than the sum of its proper divisors (530276547456).

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

189130443264 is a wasteful number, since it uses less digits than its factorization.

189130443264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 189130443264 in words is "one hundred eighty-nine billion, one hundred thirty million, four hundred forty-three thousand, two hundred sixty-four".