89114988564 has 648 divisors, whose sum is σ = 294824432448. Its totient is φ = 23455837440.

The previous prime is 89114988541. The next prime is 89114988689. The reversal of 89114988564 is 46588941198.

89114988564 is a `hidden beast` number, since 8 + 9 + 1 + 1 + 498 + 85 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1220753232 + ... + 1220753304.

It is an arithmetic number, because the mean of its divisors is an integer number (454975976).

Almost surely, 2^89114988564 is an apocalyptic number.

89114988564 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 89114988564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147412216224).

89114988564 is an abundant number, since it is smaller than the sum of its proper divisors (205709443884).

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

89114988564 is a wasteful number, since it uses less digits than its factorization.

89114988564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 175 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 89114988564 in words is "eighty-nine billion, one hundred fourteen million, nine hundred eighty-eight thousand, five hundred sixty-four".