83102081621364 has 36 divisors (see below), whose sum is σ = 226222333303876. Its totient is φ = 25569871267968.

The previous prime is 83102081621341. The next prime is 83102081621411. The reversal of 83102081621364 is 46312618020138.

83102081621364 is a `hidden beast` number, since 8 + 3 + 10 + 2 + 0 + 8 + 1 + 621 + 3 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12912739164900 + 70189342456464 = 3593430^2 + 8377908^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×83102081621364² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88784274769 + ... + 88784275704.

Almost surely, 2^{83102081621364} is an apocalyptic number.

It is an amenable number.

83102081621364 is an abundant number, since it is smaller than the sum of its proper divisors (143120251682512).

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

83102081621364 is a wasteful number, since it uses less digits than its factorization.

83102081621364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177568550496 (or 177568550491 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 83102081621364 in words is "eighty-three trillion, one hundred two billion, eighty-one million, six hundred twenty-one thousand, three hundred sixty-four".