31941848168496 has 320 divisors, whose sum is σ = 106274587991040. Its totient is φ = 8996443822080.

The previous prime is 31941848168389. The next prime is 31941848168501. The reversal of 31941848168496 is 69486184814913.

31941848168496 is a `hidden beast` number, since 3 + 1 + 9 + 41 + 8 + 481 + 68 + 49 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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, 426234646 + ... + 426309578.

It is an arithmetic number, because the mean of its divisors is an integer number (332108087472).

Almost surely, 2^{31941848168496} is an apocalyptic number.

31941848168496 is a gapful number since it is divisible by the number (36) 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 31941848168496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53137293995520).

31941848168496 is an abundant number, since it is smaller than the sum of its proper divisors (74332739822544).

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

31941848168496 is a wasteful number, since it uses less digits than its factorization.

31941848168496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76961 (or 76949 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 72.

The spelling of 31941848168496 in words is "thirty-one trillion, nine hundred forty-one billion, eight hundred forty-eight million, one hundred sixty-eight thousand, four hundred ninety-six".