31949763144 has 256 divisors, whose sum is σ = 94898926080. Its totient is φ = 8871690240.

The previous prime is 31949763113. The next prime is 31949763187. The reversal of 31949763144 is 44136794913.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13932462 + ... + 13934754.

It is an arithmetic number, because the mean of its divisors is an integer number (370698930).

Almost surely, 2^31949763144 is an apocalyptic number.

31949763144 is a gapful number since it is divisible by the number (34) 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 31949763144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47449463040).

31949763144 is an abundant number, since it is smaller than the sum of its proper divisors (62949162936).

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

31949763144 is a wasteful number, since it uses less digits than its factorization.

31949763144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2436 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The spelling of 31949763144 in words is "thirty-one billion, nine hundred forty-nine million, seven hundred sixty-three thousand, one hundred forty-four".