88288245864 has 360 divisors, whose sum is σ = 311511488310. Its totient is φ = 23283396864.

The previous prime is 88288245847. The next prime is 88288245931. The reversal of 88288245864 is 46854288288.

88288245864 is a `hidden beast` number, since 8 + 8 + 28 + 8 + 24 + 586 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 65616920964 + 22671324900 = 256158^2 + 150570^2 .

It is a super-2 number, since 2×88288245864² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 89 ways as a sum of consecutive naturals, for example, 5357862 + ... + 5374314.

Almost surely, 2^88288245864 is an apocalyptic number.

88288245864 is a gapful number since it is divisible by the number (84) 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 88288245864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155755744155).

88288245864 is an abundant number, since it is smaller than the sum of its proper divisors (223223242446).

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

88288245864 is a wasteful number, since it uses less digits than its factorization.

88288245864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16511 (or 16478 counting only the distinct ones).

The product of its digits is 62914560, while the sum is 63.

The spelling of 88288245864 in words is "eighty-eight billion, two hundred eighty-eight million, two hundred forty-five thousand, eight hundred sixty-four".