88664844846688 has 48 divisors (see below), whose sum is σ = 190428700245840. Its totient is φ = 40302033984000.

The previous prime is 88664844846637. The next prime is 88664844846701.

88664844846688 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×88664844846688² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (88).

It is a junction number, because it is equal to n+sod(n) for n = 88664844846599 and 88664844846608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129652918 + ... + 130334986.

It is an arithmetic number, because the mean of its divisors is an integer number (3967264588455).

Almost surely, 2^{88664844846688} is an apocalyptic number.

88664844846688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

88664844846688 is an abundant number, since it is smaller than the sum of its proper divisors (101763855399152).

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

88664844846688 is a wasteful number, since it uses less digits than its factorization.

88664844846688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051391 (or 1051383 counting only the distinct ones).

The product of its digits is 86973087744, while the sum is 88.

The spelling of 88664844846688 in words is "eighty-eight trillion, six hundred sixty-four billion, eight hundred forty-four million, eight hundred forty-six thousand, six hundred eighty-eight".