89074139476608 has 1536 divisors, whose sum is σ = 331660562688000. Its totient is φ = 22516907212800.

The previous prime is 89074139476579. The next prime is 89074139476613. The reversal of 89074139476608 is 80667493147098.

89074139476608 is a `hidden beast` number, since 8 + 9 + 0 + 7 + 4 + 1 + 3 + 9 + 4 + 7 + 6 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30307633603 + ... + 30307636541.

It is an arithmetic number, because the mean of its divisors is an integer number (215924845500).

Almost surely, 2^{89074139476608} is an apocalyptic number.

89074139476608 is a gapful number since it is divisible by the number (88) 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 89074139476608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165830281344000).

89074139476608 is an abundant number, since it is smaller than the sum of its proper divisors (242586423211392).

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

89074139476608 is a wasteful number, since it uses less digits than its factorization.

89074139476608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 89074139476608 in words is "eighty-nine trillion, seventy-four billion, one hundred thirty-nine million, four hundred seventy-six thousand, six hundred eight".