31632011131644 has 144 divisors (see below), whose sum is σ = 99721896857856. Its totient is φ = 8213375923200.

The previous prime is 31632011131621. The next prime is 31632011131661. The reversal of 31632011131644 is 44613111023613.

31632011131644 is a `hidden beast` number, since 3 + 1 + 6 + 3 + 2 + 0 + 1 + 1 + 1 + 3 + 1 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31632011131599 and 31632011131608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6451564 + ... + 10241420.

It is an arithmetic number, because the mean of its divisors is an integer number (692513172624).

Almost surely, 2^{31632011131644} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31632011131644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49860948428928).

31632011131644 is an abundant number, since it is smaller than the sum of its proper divisors (68089885726212).

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

31632011131644 is a wasteful number, since it uses less digits than its factorization.

31632011131644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792896 (or 3792891 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 31632011131644 in words is "thirty-one trillion, six hundred thirty-two billion, eleven million, one hundred thirty-one thousand, six hundred forty-four".