89661918096 has 45 divisors (see below), whose sum is σ = 250938896689. Its totient is φ = 29886108288.

The previous prime is 89661918043. The next prime is 89661918121. The reversal of 89661918096 is 69081916698.

The square root of 89661918096 is 299436.

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

89661918096 is a `hidden beast` number, since 8 + 9 + 6 + 619 + 1 + 8 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65055603600 + 24606314496 = 255060^2 + 156864^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 3580756 + ... + 3605708.

Almost surely, 2^89661918096 is an apocalyptic number.

89661918096 is the 299436-th square number.

It is an amenable number.

89661918096 is an abundant number, since it is smaller than the sum of its proper divisors (161276978593).

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

89661918096 is an frugal number, since it uses more digits than its factorization.

89661918096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49920 (or 24958 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 89661918096 in words is "eighty-nine billion, six hundred sixty-one million, nine hundred eighteen thousand, ninety-six".