189314593978896 has 225 divisors, whose sum is σ = 566222658716253. Its totient is φ = 61064270565120.

The previous prime is 189314593978841. The next prime is 189314593978919. The reversal of 189314593978896 is 698879395413981.

The square root of 189314593978896 is 13759164.

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

189314593978896 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 1 + 4 + 59 + 397 + 88 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 276293204496 + 189038300774400 = 525636^2 + 13749120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15355220860 + ... + 15355233188.

Almost surely, 2^{189314593978896} is an apocalyptic number.

189314593978896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

189314593978896 is the 13759164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189314593978896

189314593978896 is an abundant number, since it is smaller than the sum of its proper divisors (376908064737357).

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

189314593978896 is an frugal number, since it uses more digits than its factorization.

189314593978896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24740 (or 12365 counting only the distinct ones).

The product of its digits is 25395793920, while the sum is 90.

The spelling of 189314593978896 in words is "one hundred eighty-nine trillion, three hundred fourteen billion, five hundred ninety-three million, nine hundred seventy-eight thousand, eight hundred ninety-six".