88340668416 has 1680 divisors, whose sum is σ = 379658331360. Its totient is φ = 20065812480.

The previous prime is 88340668399. The next prime is 88340668483. The reversal of 88340668416 is 61486604388.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4649508855 + ... + 4649508873.

It is an arithmetic number, because the mean of its divisors is an integer number (225987102).

Almost surely, 2^88340668416 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 88340668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189829165680).

88340668416 is an abundant number, since it is smaller than the sum of its proper divisors (291317662944).

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

88340668416 is a wasteful number, since it uses less digits than its factorization.

88340668416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 88340668416 in words is "eighty-eight billion, three hundred forty million, six hundred sixty-eight thousand, four hundred sixteen".