31377798144 has 880 divisors, whose sum is σ = 124120909440. Its totient is φ = 7670661120.

The previous prime is 31377798107. The next prime is 31377798167. The reversal of 31377798144 is 44189777313.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1845752824 + ... + 1845752840.

It is an arithmetic number, because the mean of its divisors is an integer number (141046488).

Almost surely, 2^31377798144 is an apocalyptic number.

31377798144 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 31377798144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62060454720).

31377798144 is an abundant number, since it is smaller than the sum of its proper divisors (92743111296).

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

31377798144 is an equidigital number, since it uses as much as digits as its factorization.

31377798144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 40 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 31377798144 in words is "thirty-one billion, three hundred seventy-seven million, seven hundred ninety-eight thousand, one hundred forty-four".