88238906649600 has 264 divisors, whose sum is σ = 333296210320128. Its totient is φ = 20168892825600.

The previous prime is 88238906649599. The next prime is 88238906649661. The reversal of 88238906649600 is 694660983288.

It is a super-2 number, since 2×88238906649600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81529836 + ... + 82605035.

It is an arithmetic number, because the mean of its divisors is an integer number (1262485645152).

Almost surely, 2^{88238906649600} is an apocalyptic number.

88238906649600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88238906649600 is an abundant number, since it is smaller than the sum of its proper divisors (245057303670528).

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

88238906649600 is a wasteful number, since it uses less digits than its factorization.

88238906649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164134911 (or 164134888 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 69.

The spelling of 88238906649600 in words is "eighty-eight trillion, two hundred thirty-eight billion, nine hundred six million, six hundred forty-nine thousand, six hundred".