189454459732272 has 400 divisors, whose sum is σ = 647073306880000. Its totient is φ = 52368478525440.

The previous prime is 189454459732253. The next prime is 189454459732313. The reversal of 189454459732272 is 272237954454981.

189454459732272 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 5 + 4 + 4 + 597 + 3 + 2 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 189454459732272.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 983934504 + ... + 984127032.

It is an arithmetic number, because the mean of its divisors is an integer number (1617683267200).

Almost surely, 2^{189454459732272} is an apocalyptic number.

189454459732272 is a gapful number since it is divisible by the number (12) 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 189454459732272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323536653440000).

189454459732272 is an abundant number, since it is smaller than the sum of its proper divisors (457618847147728).

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

189454459732272 is a wasteful number, since it uses less digits than its factorization.

189454459732272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196086 (or 196071 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 189454459732272 in words is "one hundred eighty-nine trillion, four hundred fifty-four billion, four hundred fifty-nine million, seven hundred thirty-two thousand, two hundred seventy-two".