11634478272 has 84 divisors (see below), whose sum is σ = 33894924336. Its totient is φ = 3814571520.

The previous prime is 11634478267. The next prime is 11634478301. The reversal of 11634478272 is 27287443611.

11634478272 is a `hidden beast` number, since 1 + 1 + 63 + 447 + 82 + 72 = 666.

It is a super-2 number, since 2×11634478272² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130428 + ... + 200699.

It is an arithmetic number, because the mean of its divisors is an integer number (403511004).

Almost surely, 2^11634478272 is an apocalyptic number.

11634478272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11634478272 is an abundant number, since it is smaller than the sum of its proper divisors (22260446064).

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

11634478272 is a wasteful number, since it uses less digits than its factorization.

11634478272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331206 (or 331193 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 11634478272 in words is "eleven billion, six hundred thirty-four million, four hundred seventy-eight thousand, two hundred seventy-two".