189129852288 has 960 divisors, whose sum is σ = 671488725600. Its totient is φ = 52733970432.

The previous prime is 189129852281. The next prime is 189129852313. The reversal of 189129852288 is 882258921981.

189129852288 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 29 + 8 + 522 + 88 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (13271040) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189129852281) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8223037045 + ... + 8223037067.

Almost surely, 2^189129852288 is an apocalyptic number.

189129852288 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 189129852288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335744362800).

189129852288 is an abundant number, since it is smaller than the sum of its proper divisors (482358873312).

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

189129852288 is an equidigital number, since it uses as much as digits as its factorization.

189129852288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 60 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 63.

The spelling of 189129852288 in words is "one hundred eighty-nine billion, one hundred twenty-nine million, eight hundred fifty-two thousand, two hundred eighty-eight".