31864634144 has 192 divisors, whose sum is σ = 76640256000. Its totient is φ = 13019731200.

The previous prime is 31864634119. The next prime is 31864634147. The reversal of 31864634144 is 44143646813.

It is a super-2 number, since 2×31864634144² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31864634095 and 31864634104.

It is not an unprimeable number, because it can be changed into a prime (31864634147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24157517 + ... + 24158835.

It is an arithmetic number, because the mean of its divisors is an integer number (399168000).

Almost surely, 2^31864634144 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 31864634144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38320128000).

31864634144 is an abundant number, since it is smaller than the sum of its proper divisors (44775621856).

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

31864634144 is a wasteful number, since it uses less digits than its factorization.

31864634144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1430 counting only the distinct ones).

The product of its digits is 663552, while the sum is 44.

The spelling of 31864634144 in words is "thirty-one billion, eight hundred sixty-four million, six hundred thirty-four thousand, one hundred forty-four".