88669412496 has 480 divisors, whose sum is σ = 308936060160. Its totient is φ = 23174221824.

The previous prime is 88669412467. The next prime is 88669412497. The reversal of 88669412496 is 69421496688.

88669412496 is a `hidden beast` number, since 8 + 86 + 69 + 4 + 1 + 2 + 496 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (88669412497) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 111253570 + ... + 111254366.

It is an arithmetic number, because the mean of its divisors is an integer number (643616792).

Almost surely, 2^88669412496 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 88669412496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154468030080).

88669412496 is an abundant number, since it is smaller than the sum of its proper divisors (220266647664).

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

88669412496 is a wasteful number, since it uses less digits than its factorization.

88669412496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1022 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 88669412496 in words is "eighty-eight billion, six hundred sixty-nine million, four hundred twelve thousand, four hundred ninety-six".