88844444880480 has 144 divisors (see below), whose sum is σ = 306834459750000. Its totient is φ = 23406407937024.

The previous prime is 88844444880469. The next prime is 88844444880481. The reversal of 88844444880480 is 8408844444888.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×88844444880480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 88844444880399 and 88844444880408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88844444880481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371552355 + ... + 371791394.

It is an arithmetic number, because the mean of its divisors is an integer number (2130794859375).

Almost surely, 2^{88844444880480} is an apocalyptic number.

88844444880480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88844444880480 is an abundant number, since it is smaller than the sum of its proper divisors (217990014869520).

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

88844444880480 is a wasteful number, since it uses less digits than its factorization.

88844444880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743343853 (or 743343842 counting only the distinct ones).

The product of its (nonzero) digits is 1073741824, while the sum is 72.

The spelling of 88844444880480 in words is "eighty-eight trillion, eight hundred forty-four billion, four hundred forty-four million, eight hundred eighty thousand, four hundred eighty".