83231745696 has 288 divisors, whose sum is σ = 279419632128. Its totient is φ = 24124573440.

The previous prime is 83231745689. The next prime is 83231745763. The reversal of 83231745696 is 69654713238.

83231745696 is a `hidden beast` number, since 8 + 3 + 2 + 3 + 1 + 74 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×83231745696² (a number of 23 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 1946175 + ... + 1988481.

It is an arithmetic number, because the mean of its divisors is an integer number (970207056).

Almost surely, 2^83231745696 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 83231745696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139709816064).

83231745696 is an abundant number, since it is smaller than the sum of its proper divisors (196187886432).

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

83231745696 is a wasteful number, since it uses less digits than its factorization.

83231745696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42366 (or 42346 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 83231745696 in words is "eighty-three billion, two hundred thirty-one million, seven hundred forty-five thousand, six hundred ninety-six".