189385413649200 has 240 divisors, whose sum is σ = 680616177379840. Its totient is φ = 50012458456320.

The previous prime is 189385413649193. The next prime is 189385413649273. The reversal of 189385413649200 is 2946314583981.

189385413649200 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 8 + 5 + 4 + 136 + 492 + 0 + 0 = 666.

189385413649200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84012292 + ... + 86237091.

Almost surely, 2^{189385413649200} is an apocalyptic number.

189385413649200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189385413649200 is an abundant number, since it is smaller than the sum of its proper divisors (491230763730640).

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

189385413649200 is a wasteful number, since it uses less digits than its factorization.

189385413649200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170249513 (or 170249496 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 189385413649200 in words is "one hundred eighty-nine trillion, three hundred eighty-five billion, four hundred thirteen million, six hundred forty-nine thousand, two hundred".