88643211234688 has 64 divisors (see below), whose sum is σ = 193801468734720. Its totient is φ = 40051096967680.

The previous prime is 88643211234661. The next prime is 88643211234703.

88643211234688 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×88643211234688² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188258356 + ... + 188728627.

It is an arithmetic number, because the mean of its divisors is an integer number (3028147948980).

Almost surely, 2^{88643211234688} is an apocalyptic number.

88643211234688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

88643211234688 is an abundant number, since it is smaller than the sum of its proper divisors (105158257500032).

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

88643211234688 is a wasteful number, since it uses less digits than its factorization.

88643211234688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376987175 (or 376987163 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 64.

The spelling of 88643211234688 in words is "eighty-eight trillion, six hundred forty-three billion, two hundred eleven million, two hundred thirty-four thousand, six hundred eighty-eight".