189504114299136 has 1440 divisors, whose sum is σ = 721315499520000. Its totient is φ = 49158314311680.

The previous prime is 189504114299089. The next prime is 189504114299141. The reversal of 189504114299136 is 631992411405981.

189504114299136 is a `hidden beast` number, since 1 + 8 + 9 + 50 + 41 + 1 + 429 + 91 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5640154465 + ... + 5640188063.

Almost surely, 2^{189504114299136} is an apocalyptic number.

189504114299136 is a gapful number since it is divisible by the number (16) 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 189504114299136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360657749760000).

189504114299136 is an abundant number, since it is smaller than the sum of its proper divisors (531811385220864).

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

189504114299136 is an equidigital number, since it uses as much as digits as its factorization.

189504114299136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33722 (or 33685 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 189504114299136 in words is "one hundred eighty-nine trillion, five hundred four billion, one hundred fourteen million, two hundred ninety-nine thousand, one hundred thirty-six".