31439163388896 has 480 divisors, whose sum is σ = 98574361966080. Its totient is φ = 9795614736384.

The previous prime is 31439163388877. The next prime is 31439163388957. The reversal of 31439163388896 is 69888336193413.

31439163388896 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 9 + 163 + 388 + 89 + 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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4199163265 + ... + 4199170751.

It is an arithmetic number, because the mean of its divisors is an integer number (205363254096).

Almost surely, 2^{31439163388896} is an apocalyptic number.

31439163388896 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 31439163388896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49287180983040).

31439163388896 is an abundant number, since it is smaller than the sum of its proper divisors (67135198577184).

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

31439163388896 is a wasteful number, since it uses less digits than its factorization.

31439163388896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168 (or 8151 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 31439163388896 in words is "thirty-one trillion, four hundred thirty-nine billion, one hundred sixty-three million, three hundred eighty-eight thousand, eight hundred ninety-six".