88807974144768 has 432 divisors, whose sum is σ = 281444088350880. Its totient is φ = 27833049612288.

The previous prime is 88807974144763. The next prime is 88807974144797. The reversal of 88807974144768 is 86744147970888.

88807974144768 is a `hidden beast` number, since 8 + 8 + 8 + 0 + 79 + 7 + 41 + 447 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (88807974144763) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1054321278 + ... + 1054405506.

Almost surely, 2^{88807974144768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88807974144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140722044175440).

88807974144768 is an abundant number, since it is smaller than the sum of its proper divisors (192636114206112).

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

88807974144768 is an equidigital number, since it uses as much as digits as its factorization.

88807974144768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85274 (or 85248 counting only the distinct ones).

The product of its (nonzero) digits is 4855431168, while the sum is 81.

The spelling of 88807974144768 in words is "eighty-eight trillion, eight hundred seven billion, nine hundred seventy-four million, one hundred forty-four thousand, seven hundred sixty-eight".