189814433688 has 576 divisors, whose sum is σ = 623834265600. Its totient is φ = 51891840000.

The previous prime is 189814433659. The next prime is 189814433713. The reversal of 189814433688 is 886334418981.

189814433688 is a `hidden beast` number, since 1 + 8 + 9 + 81 + 443 + 36 + 88 = 666.

It is a super-2 number, since 2×189814433688² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 364326868 + ... + 364327388.

It is an arithmetic number, because the mean of its divisors is an integer number (1083045600).

Almost surely, 2^189814433688 is an apocalyptic number.

189814433688 is a gapful number since it is divisible by the number (18) 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 189814433688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311917132800).

189814433688 is an abundant number, since it is smaller than the sum of its proper divisors (434019831912).

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

189814433688 is a wasteful number, since it uses less digits than its factorization.

189814433688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 658 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 189814433688 in words is "one hundred eighty-nine billion, eight hundred fourteen million, four hundred thirty-three thousand, six hundred eighty-eight".