88465031424 has 216 divisors, whose sum is σ = 318005618112. Its totient is φ = 22977884160.

The previous prime is 88465031419. The next prime is 88465031441. The reversal of 88465031424 is 42413056488.

88465031424 is a `hidden beast` number, since 88 + 46 + 503 + 1 + 4 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 88465031424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71919 + ... + 426734.

It is an arithmetic number, because the mean of its divisors is an integer number (1472248232).

Almost surely, 2^88465031424 is an apocalyptic number.

88465031424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88465031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159002809056).

88465031424 is an abundant number, since it is smaller than the sum of its proper divisors (229540586688).

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

88465031424 is a wasteful number, since it uses less digits than its factorization.

88465031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498693 (or 498676 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 88465031424 in words is "eighty-eight billion, four hundred sixty-five million, thirty-one thousand, four hundred twenty-four".