11632131672 has 64 divisors (see below), whose sum is σ = 33260344320. Its totient is φ = 3320898048.

The previous prime is 11632131659. The next prime is 11632131751. The reversal of 11632131672 is 27613123611.

11632131672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196848 + ... + 249024.

It is an arithmetic number, because the mean of its divisors is an integer number (519692880).

Almost surely, 2^11632131672 is an apocalyptic number.

11632131672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11632131672 is an abundant number, since it is smaller than the sum of its proper divisors (21628212648).

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

11632131672 is a wasteful number, since it uses less digits than its factorization.

11632131672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53520 (or 53516 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The spelling of 11632131672 in words is "eleven billion, six hundred thirty-two million, one hundred thirty-one thousand, six hundred seventy-two".