11632456512 has 84 divisors (see below), whose sum is σ = 33371828100. Its totient is φ = 3874056192.

The previous prime is 11632456489. The next prime is 11632456541. The reversal of 11632456512 is 21565423611.

11632456512 is a `hidden beast` number, since 1 + 1 + 63 + 24 + 565 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4109322816 + 7523133696 = 64104^2 + 86736^2 .

It is a super-2 number, since 2×11632456512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 690364 + ... + 707012.

Almost surely, 2^11632456512 is an apocalyptic number.

11632456512 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 11632456512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16685914050).

11632456512 is an abundant number, since it is smaller than the sum of its proper divisors (21739371588).

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

11632456512 is a wasteful number, since it uses less digits than its factorization.

11632456512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17880 (or 17867 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 11632456512 in words is "eleven billion, six hundred thirty-two million, four hundred fifty-six thousand, five hundred twelve".