88301313984 has 224 divisors, whose sum is σ = 265200505920. Its totient is φ = 25736675328.

The previous prime is 88301313977. The next prime is 88301314007. The reversal of 88301313984 is 48931310388.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3824844 + ... + 3847860.

It is an arithmetic number, because the mean of its divisors is an integer number (1183930830).

Almost surely, 2^88301313984 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 88301313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132600252960).

88301313984 is an abundant number, since it is smaller than the sum of its proper divisors (176899191936).

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

88301313984 is a wasteful number, since it uses less digits than its factorization.

88301313984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23127 (or 23117 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 88301313984 in words is "eighty-eight billion, three hundred one million, three hundred thirteen thousand, nine hundred eighty-four".