88614393120 has 768 divisors, whose sum is σ = 366723624960. Its totient is φ = 19740672000.

The previous prime is 88614393073. The next prime is 88614393121. The reversal of 88614393120 is 2139341688.

88614393120 is a `hidden beast` number, since 8 + 8 + 614 + 3 + 9 + 3 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (88614393121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34735845 + ... + 34738395.

It is an arithmetic number, because the mean of its divisors is an integer number (477504720).

Almost surely, 2^88614393120 is an apocalyptic number.

88614393120 is a gapful number since it is divisible by the number (80) 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 88614393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183361812480).

88614393120 is an abundant number, since it is smaller than the sum of its proper divisors (278109231840).

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

88614393120 is a wasteful number, since it uses less digits than its factorization.

88614393120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 88614393120 in words is "eighty-eight billion, six hundred fourteen million, three hundred ninety-three thousand, one hundred twenty".