8131638983832 has 512 divisors, whose sum is σ = 28479243878400. Its totient is φ = 2092801536000.

The previous prime is 8131638983789. The next prime is 8131638983857. The reversal of 8131638983832 is 2383898361318.

8131638983832 is a `hidden beast` number, since 8 + 1 + 3 + 163 + 8 + 98 + 383 + 2 = 666.

It is a super-2 number, since 2×8131638983832² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8131638983832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152248332 + ... + 152301732.

It is an arithmetic number, because the mean of its divisors is an integer number (55623523200).

Almost surely, 2^{8131638983832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8131638983832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14239621939200).

8131638983832 is an abundant number, since it is smaller than the sum of its proper divisors (20347604894568).

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

8131638983832 is a wasteful number, since it uses less digits than its factorization.

8131638983832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53624 (or 53614 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 8131638983832 in words is "eight trillion, one hundred thirty-one billion, six hundred thirty-eight million, nine hundred eighty-three thousand, eight hundred thirty-two".