88131342584016 has 80 divisors (see below), whose sum is σ = 254900660224320. Its totient is φ = 29152861395840.

The previous prime is 88131342584011. The next prime is 88131342584017. The reversal of 88131342584016 is 61048524313188.

It is a happy number.

88131342584016 is a `hidden beast` number, since 8 + 8 + 1 + 3 + 1 + 3 + 42 + 584 + 0 + 16 = 666.

It is a super-2 number, since 2×88131342584016² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88131342584011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778598895 + ... + 778712078.

It is an arithmetic number, because the mean of its divisors is an integer number (3186258252804).

Almost surely, 2^{88131342584016} is an apocalyptic number.

It is an amenable number.

88131342584016 is an abundant number, since it is smaller than the sum of its proper divisors (166769317640304).

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

88131342584016 is a wasteful number, since it uses less digits than its factorization.

88131342584016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557311121 (or 1557311109 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 88131342584016 in words is "eighty-eight trillion, one hundred thirty-one billion, three hundred forty-two million, five hundred eighty-four thousand, sixteen".