11904473189952 has 504 divisors, whose sum is σ = 41845302420480. Its totient is φ = 3221515100160.

The previous prime is 11904473189911. The next prime is 11904473189963. The reversal of 11904473189952 is 25998137440911.

11904473189952 is a `hidden beast` number, since 1 + 1 + 9 + 0 + 447 + 3 + 189 + 9 + 5 + 2 = 666.

11904473189952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11904473189952.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40977624 + ... + 41267112.

Almost surely, 2^{11904473189952} is an apocalyptic number.

11904473189952 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 11904473189952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20922651210240).

11904473189952 is an abundant number, since it is smaller than the sum of its proper divisors (29940829230528).

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

11904473189952 is a wasteful number, since it uses less digits than its factorization.

11904473189952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289599 (or 289579 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 11904473189952 in words is "eleven trillion, nine hundred four billion, four hundred seventy-three million, one hundred eighty-nine thousand, nine hundred fifty-two".