189466397561952 has 384 divisors, whose sum is σ = 651985896038400. Its totient is φ = 52382321049600.

The previous prime is 189466397561941. The next prime is 189466397561953. The reversal of 189466397561952 is 259165793664981.

189466397561952 is a `hidden beast` number, since 1 + 8 + 9 + 46 + 6 + 3 + 9 + 7 + 561 + 9 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189466397561953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2438992552 + ... + 2439070232.

It is an arithmetic number, because the mean of its divisors is an integer number (1697879937600).

Almost surely, 2^{189466397561952} is an apocalyptic number.

189466397561952 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 189466397561952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325992948019200).

189466397561952 is an abundant number, since it is smaller than the sum of its proper divisors (462519498476448).

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

189466397561952 is a wasteful number, since it uses less digits than its factorization.

189466397561952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90747 (or 90733 counting only the distinct ones).

The product of its digits is 5290790400, while the sum is 81.

The spelling of 189466397561952 in words is "one hundred eighty-nine trillion, four hundred sixty-six billion, three hundred ninety-seven million, five hundred sixty-one thousand, nine hundred fifty-two".