89461431936 has 128 divisors (see below), whose sum is σ = 265936440000. Its totient is φ = 29605782528.

The previous prime is 89461431929. The next prime is 89461431953. The reversal of 89461431936 is 63913416498.

89461431936 is a `hidden beast` number, since 8 + 9 + 4 + 614 + 3 + 19 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387270 + ... + 573498.

Almost surely, 2^89461431936 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 89461431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132968220000).

89461431936 is an abundant number, since it is smaller than the sum of its proper divisors (176475008064).

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

89461431936 is a wasteful number, since it uses less digits than its factorization.

89461431936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186391 (or 186373 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 89461431936 in words is "eighty-nine billion, four hundred sixty-one million, four hundred thirty-one thousand, nine hundred thirty-six".