189146827296 has 240 divisors, whose sum is σ = 636263147520. Its totient is φ = 53997788160.

The previous prime is 189146827283. The next prime is 189146827297. The reversal of 189146827296 is 692728641981.

189146827296 is a `hidden beast` number, since 1 + 89 + 1 + 468 + 2 + 7 + 2 + 96 = 666.

It is a super-2 number, since 2×189146827296² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (189146827297) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26867745 + ... + 26874783.

It is an arithmetic number, because the mean of its divisors is an integer number (2651096448).

Almost surely, 2^189146827296 is an apocalyptic number.

189146827296 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 189146827296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318131573760).

189146827296 is an abundant number, since it is smaller than the sum of its proper divisors (447116320224).

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

189146827296 is a wasteful number, since it uses less digits than its factorization.

189146827296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8549 (or 8532 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 189146827296 in words is "one hundred eighty-nine billion, one hundred forty-six million, eight hundred twenty-seven thousand, two hundred ninety-six".