11632916736 has 405 divisors, whose sum is σ = 40731109419. Its totient is φ = 3292627968.

The previous prime is 11632916731. The next prime is 11632916761. The reversal of 11632916736 is 63761923611.

It is a happy number.

The square root of 11632916736 is 107856.

It is a perfect power (a square), and thus also a powerful number.

11632916736 is a `hidden beast` number, since 1 + 1 + 632 + 9 + 1 + 6 + 7 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11632916691 and 11632916700.

It is not an unprimeable number, because it can be changed into a prime (11632916731) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 108718795 + ... + 108718901.

Almost surely, 2^11632916736 is an apocalyptic number.

11632916736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11632916736 is the 107856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11632916736

11632916736 is an abundant number, since it is smaller than the sum of its proper divisors (29098192683).

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

11632916736 is an frugal number, since it uses more digits than its factorization.

11632916736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 119 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The spelling of 11632916736 in words is "eleven billion, six hundred thirty-two million, nine hundred sixteen thousand, seven hundred thirty-six".