189145172160 has 336 divisors, whose sum is σ = 763618829376. Its totient is φ = 42064551936.

The previous prime is 189145172143. The next prime is 189145172179. The reversal of 189145172160 is 61271541981.

189145172160 is a `hidden beast` number, since 189 + 1 + 451 + 7 + 2 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 619134 + ... + 872706.

Almost surely, 2^189145172160 is an apocalyptic number.

189145172160 is a gapful number since it is divisible by the number (10) 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 189145172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381809414688).

189145172160 is an abundant number, since it is smaller than the sum of its proper divisors (574473657216).

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

189145172160 is a wasteful number, since it uses less digits than its factorization.

189145172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253640 (or 253627 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 189145172160 in words is "one hundred eighty-nine billion, one hundred forty-five million, one hundred seventy-two thousand, one hundred sixty".