88321852116 has 84 divisors (see below), whose sum is σ = 231854404404. Its totient is φ = 29425939200.

The previous prime is 88321852109. The next prime is 88321852169. The reversal of 88321852116 is 61125812388.

88321852116 is a `hidden beast` number, since 88 + 32 + 1 + 8 + 521 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29953224900 + 58368627216 = 173070^2 + 241596^2 .

It is a super-2 number, since 2×88321852116² (a number of 23 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 (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6936636 + ... + 6949356.

It is an arithmetic number, because the mean of its divisors is an integer number (2760171481).

Almost surely, 2^88321852116 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 88321852116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115927202202).

88321852116 is an abundant number, since it is smaller than the sum of its proper divisors (143532552288).

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

88321852116 is a wasteful number, since it uses less digits than its factorization.

88321852116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15124 (or 15107 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 88321852116 in words is "eighty-eight billion, three hundred twenty-one million, eight hundred fifty-two thousand, one hundred sixteen".