3131961364048 has 160 divisors (see below), whose sum is σ = 7109823513600. Its totient is φ = 1321521868800.

The previous prime is 3131961364043. The next prime is 3131961364061. The reversal of 3131961364048 is 8404631691313.

It is a junction number, because it is equal to n+sod(n) for n = 3131961363992 and 3131961364010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131961364043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38659648 + ... + 38740576.

It is an arithmetic number, because the mean of its divisors is an integer number (44436396960).

Almost surely, 2^{3131961364048} is an apocalyptic number.

3131961364048 is a gapful number since it is divisible by the number (38) 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 3131961364048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554911756800).

3131961364048 is an abundant number, since it is smaller than the sum of its proper divisors (3977862149552).

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

3131961364048 is a wasteful number, since it uses less digits than its factorization.

3131961364048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81201 (or 81195 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The spelling of 3131961364048 in words is "three trillion, one hundred thirty-one billion, nine hundred sixty-one million, three hundred sixty-four thousand, forty-eight".