89979187461696 has 189 divisors, whose sum is σ = 279283531110129. Its totient is φ = 27684993203712.

The previous prime is 89979187461629. The next prime is 89979187461703. The reversal of 89979187461696 is 69616478197998.

The square root of 89979187461696 is 9485736.

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

89979187461696 is a `hidden beast` number, since 8 + 9 + 9 + 7 + 9 + 1 + 87 + 461 + 69 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13310530689600 + 76668656772096 = 3648360^2 + 8756064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2959534431 + ... + 2959564833.

Almost surely, 2^{89979187461696} is an apocalyptic number.

89979187461696 is the 9485736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89979187461696

89979187461696 is an abundant number, since it is smaller than the sum of its proper divisors (189304343648433).

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

89979187461696 is an frugal number, since it uses more digits than its factorization.

89979187461696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60850 (or 30421 counting only the distinct ones).

The product of its digits is 17777055744, while the sum is 90.

The spelling of 89979187461696 in words is "eighty-nine trillion, nine hundred seventy-nine billion, one hundred eighty-seven million, four hundred sixty-one thousand, six hundred ninety-six".