88415717352 has 128 divisors (see below), whose sum is σ = 244401408000. Its totient is φ = 26529465600.

The previous prime is 88415717249. The next prime is 88415717353. The reversal of 88415717352 is 25371751488.

It is a super-4 number, since 4×88415717352⁴ (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88415717295 and 88415717304.

It is not an unprimeable number, because it can be changed into a prime (88415717353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1555774 + ... + 1611602.

It is an arithmetic number, because the mean of its divisors is an integer number (1909386000).

Almost surely, 2^88415717352 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 88415717352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122200704000).

88415717352 is an abundant number, since it is smaller than the sum of its proper divisors (155985690648).

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

88415717352 is a wasteful number, since it uses less digits than its factorization.

88415717352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56031 (or 56027 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 51.

The spelling of 88415717352 in words is "eighty-eight billion, four hundred fifteen million, seven hundred seventeen thousand, three hundred fifty-two".