89318746400 has 72 divisors (see below), whose sum is σ = 234822446964. Its totient is φ = 32979225600.

The previous prime is 89318746399. The next prime is 89318746403. The reversal of 89318746400 is 464781398.

It can be written as a sum of positive squares in 6 ways, for example, as 8410357264 + 80908389136 = 91708^2 + 284444^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (89318746403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4283771 + ... + 4304570.

Almost surely, 2^89318746400 is an apocalyptic number.

89318746400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89318746400 is an abundant number, since it is smaller than the sum of its proper divisors (145503700564).

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

89318746400 is a wasteful number, since it uses less digits than its factorization.

89318746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8588374 (or 8588361 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 89318746400 in words is "eighty-nine billion, three hundred eighteen million, seven hundred forty-six thousand, four hundred".