88451766715488 has 96 divisors (see below), whose sum is σ = 253439859923712. Its totient is φ = 26788098547200.

The previous prime is 88451766715447. The next prime is 88451766715511.

88451766715488 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×88451766715488² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22336468 + ... + 25996563.

It is an arithmetic number, because the mean of its divisors is an integer number (2639998540872).

Almost surely, 2^{88451766715488} is an apocalyptic number.

88451766715488 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

88451766715488 is an abundant number, since it is smaller than the sum of its proper divisors (164988093208224).

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

88451766715488 is a wasteful number, since it uses less digits than its factorization.

88451766715488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48334788 (or 48334780 counting only the distinct ones).

The product of its digits is 2890137600, while the sum is 78.

The spelling of 88451766715488 in words is "eighty-eight trillion, four hundred fifty-one billion, seven hundred sixty-six million, seven hundred fifteen thousand, four hundred eighty-eight".