89444987191296 has 405 divisors, whose sum is σ = 284140979290623. Its totient is φ = 27092435927040.

The previous prime is 89444987191187. The next prime is 89444987191349. The reversal of 89444987191296 is 69219178944498.

The square root of 89444987191296 is 9457536.

It is a perfect power (a square), and thus also a powerful number.

89444987191296 is a `hidden beast` number, since 8 + 9 + 4 + 449 + 8 + 71 + 9 + 12 + 96 = 666.

It is a super-2 number, since 2×89444987191296² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39948630945 + ... + 39948633183.

Almost surely, 2^{89444987191296} is an apocalyptic number.

89444987191296 is the 9457536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89444987191296

89444987191296 is an abundant number, since it is smaller than the sum of its proper divisors (194695992099327).

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

89444987191296 is an frugal number, since it uses more digits than its factorization.

89444987191296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 2255 counting only the distinct ones).

The product of its digits is 2257403904, while the sum is 81.

The spelling of 89444987191296 in words is "eighty-nine trillion, four hundred forty-four billion, nine hundred eighty-seven million, one hundred ninety-one thousand, two hundred ninety-six".