83677313538 has 192 divisors, whose sum is σ = 237517443072. Its totient is φ = 20660520960.

The previous prime is 83677313507. The next prime is 83677313543. The reversal of 83677313538 is 83531377638.

83677313538 is a `hidden beast` number, since 8 + 3 + 6 + 77 + 31 + 3 + 538 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5310720 + ... + 5326452.

It is an arithmetic number, because the mean of its divisors is an integer number (1237070016).

Almost surely, 2^83677313538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83677313538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118758721536).

83677313538 is an abundant number, since it is smaller than the sum of its proper divisors (153840129534).

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

83677313538 is a wasteful number, since it uses less digits than its factorization.

83677313538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15969 (or 15966 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 83677313538 in words is "eighty-three billion, six hundred seventy-seven million, three hundred thirteen thousand, five hundred thirty-eight".