89364416232 has 256 divisors, whose sum is σ = 291174912000. Its totient is φ = 22326430464.

The previous prime is 89364416201. The next prime is 89364416243. The reversal of 89364416232 is 23261446398.

It is a super-2 number, since 2×89364416232² (a number of 23 digits) contains 22 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 63 ways as a sum of consecutive naturals, for example, 7006453 + ... + 7019195.

It is an arithmetic number, because the mean of its divisors is an integer number (1137402000).

Almost surely, 2^89364416232 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 89364416232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145587456000).

89364416232 is an abundant number, since it is smaller than the sum of its proper divisors (201810495768).

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

89364416232 is a wasteful number, since it uses less digits than its factorization.

89364416232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12817 (or 12787 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 89364416232 in words is "eighty-nine billion, three hundred sixty-four million, four hundred sixteen thousand, two hundred thirty-two".