89614387968 has 288 divisors, whose sum is σ = 277352420352. Its totient is φ = 25159680000.

The previous prime is 89614387963. The next prime is 89614387969. The reversal of 89614387968 is 86978341698.

It is not an unprimeable number, because it can be changed into a prime (89614387963) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 81988830 + ... + 81989922.

Almost surely, 2^89614387968 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 89614387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138676210176).

89614387968 is an abundant number, since it is smaller than the sum of its proper divisors (187738032384).

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

89614387968 is a wasteful number, since it uses less digits than its factorization.

89614387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1357 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 69.

The spelling of 89614387968 in words is "eighty-nine billion, six hundred fourteen million, three hundred eighty-seven thousand, nine hundred sixty-eight".