88445254668288 has 624 divisors, whose sum is σ = 286547899697280. Its totient is φ = 24161319124992.

The previous prime is 88445254668187. The next prime is 88445254668299. The reversal of 88445254668288 is 88286645254488.

It is a super-3 number, since 3×88445254668288³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1798483956 + ... + 1798533132.

It is an arithmetic number, because the mean of its divisors is an integer number (459211377720).

Almost surely, 2^{88445254668288} 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 88445254668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143273949848640).

88445254668288 is an abundant number, since it is smaller than the sum of its proper divisors (198102645028992).

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

88445254668288 is a wasteful number, since it uses less digits than its factorization.

88445254668288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49350 (or 49321 counting only the distinct ones).

The product of its digits is 7549747200, while the sum is 78.

The spelling of 88445254668288 in words is "eighty-eight trillion, four hundred forty-five billion, two hundred fifty-four million, six hundred sixty-eight thousand, two hundred eighty-eight".