83923259627136 has 384 divisors, whose sum is σ = 252873827136000. Its totient is φ = 24600913182720.

The previous prime is 83923259627131. The next prime is 83923259627197. The reversal of 83923259627136 is 63172695232938.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×83923259627136² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83923259627131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 99346830 + ... + 100188018.

It is an arithmetic number, because the mean of its divisors is an integer number (658525591500).

Almost surely, 2^{83923259627136} 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 83923259627136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126436913568000).

83923259627136 is an abundant number, since it is smaller than the sum of its proper divisors (168950567508864).

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

83923259627136 is a wasteful number, since it uses less digits than its factorization.

83923259627136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841300 (or 841271 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 66.

The spelling of 83923259627136 in words is "eighty-three trillion, nine hundred twenty-three billion, two hundred fifty-nine million, six hundred twenty-seven thousand, one hundred thirty-six".