89418264264 has 192 divisors, whose sum is σ = 285169248000. Its totient is φ = 25299316224.

The previous prime is 89418264263. The next prime is 89418264281. The reversal of 89418264264 is 46246281498.

It is a happy number.

89418264264 is a `hidden beast` number, since 89 + 41 + 8 + 264 + 264 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 89418264264.

It is not an unprimeable number, because it can be changed into a prime (89418264263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2526112 + ... + 2561264.

It is an arithmetic number, because the mean of its divisors is an integer number (1485256500).

Almost surely, 2^89418264264 is an apocalyptic number.

89418264264 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 89418264264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142584624000).

89418264264 is an abundant number, since it is smaller than the sum of its proper divisors (195750983736).

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

89418264264 is a wasteful number, since it uses less digits than its factorization.

89418264264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35289 (or 35268 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 89418264264 in words is "eighty-nine billion, four hundred eighteen million, two hundred sixty-four thousand, two hundred sixty-four".