83637138816 has 768 divisors, whose sum is σ = 318979296000. Its totient is φ = 21327667200.

The previous prime is 83637138773. The next prime is 83637138829. The reversal of 83637138816 is 61883173638.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 109903876 + ... + 109904636.

It is an arithmetic number, because the mean of its divisors is an integer number (415337625).

Almost surely, 2^83637138816 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 83637138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159489648000).

83637138816 is an abundant number, since it is smaller than the sum of its proper divisors (235342157184).

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

83637138816 is a wasteful number, since it uses less digits than its factorization.

83637138816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 843 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 83637138816 in words is "eighty-three billion, six hundred thirty-seven million, one hundred thirty-eight thousand, eight hundred sixteen".