11631706272 has 144 divisors (see below), whose sum is σ = 36320985792. Its totient is φ = 3649121280.

The previous prime is 11631706259. The next prime is 11631706277. The reversal of 11631706272 is 27260713611.

It is a happy number.

11631706272 is a `hidden beast` number, since 1 + 16 + 3 + 17 + 0 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (11631706277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88197 + ... + 176187.

It is an arithmetic number, because the mean of its divisors is an integer number (252229068).

Almost surely, 2^11631706272 is an apocalyptic number.

11631706272 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 11631706272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18160492896).

11631706272 is an abundant number, since it is smaller than the sum of its proper divisors (24689279520).

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

11631706272 is an equidigital number, since it uses as much as digits as its factorization.

11631706272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88033 (or 88013 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11631706272 in words is "eleven billion, six hundred thirty-one million, seven hundred six thousand, two hundred seventy-two".