88484864832 has 336 divisors, whose sum is σ = 325880089920. Its totient is φ = 23336377344.

The previous prime is 88484864807. The next prime is 88484864843. The reversal of 88484864832 is 23846848488.

88484864832 is a `hidden beast` number, since 8 + 8 + 484 + 86 + 48 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 88484864832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060543 + ... + 1140929.

It is an arithmetic number, because the mean of its divisors is an integer number (969881220).

Almost surely, 2^88484864832 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 88484864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162940044960).

88484864832 is an abundant number, since it is smaller than the sum of its proper divisors (237395225088).

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

88484864832 is a wasteful number, since it uses less digits than its factorization.

88484864832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80435 (or 80412 counting only the distinct ones).

The product of its digits is 75497472, while the sum is 63.

The spelling of 88484864832 in words is "eighty-eight billion, four hundred eighty-four million, eight hundred sixty-four thousand, eight hundred thirty-two".