89826967888681 has 9 divisors (see below), whose sum is σ = 90979169498973. Its totient is φ = 88689178400940.

The previous prime is 89826967888643. The next prime is 89826967888727. The reversal of 89826967888681 is 18688876962898.

The square root of 89826967888681 is 9477709.

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

It is not a de Polignac number, because 89826967888681 - 2¹⁵ = 89826967855913 is a prime.

It is a super-3 number, since 3×89826967888681³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 89826967888681.

It is not an unprimeable number, because it can be changed into a prime (89826967888081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 748679026 + ... + 748798996.

It is an arithmetic number, because the mean of its divisors is an integer number (10108796610997).

Almost surely, 2^{89826967888681} is an apocalyptic number.

89826967888681 is the 9477709-th square number.

89826967888681 is the 4738855-th centered octagonal number.

It is an amenable number.

89826967888681 is a deficient number, since it is larger than the sum of its proper divisors (1152201610292).

89826967888681 is an frugal number, since it uses more digits than its factorization.

89826967888681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240100 (or 120050 counting only the distinct ones).

The product of its digits is 64210599936, while the sum is 94.

The spelling of 89826967888681 in words is "eighty-nine trillion, eight hundred twenty-six billion, nine hundred sixty-seven million, eight hundred eighty-eight thousand, six hundred eighty-one".