90893971671889 has 9 divisors (see below), whose sum is σ = 93920923362249. Its totient is φ = 87961622054580.

The previous prime is 90893971671857. The next prime is 90893971671911. The reversal of 90893971671889 is 98817617939809.

The square root of 90893971671889 is 9533833.

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

It is not a de Polignac number, because 90893971671889 - 2⁵ = 90893971671857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90893971671829) 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, 295395052 + ... + 295702594.

It is an arithmetic number, because the mean of its divisors is an integer number (10435658151361).

Almost surely, 2^{90893971671889} is an apocalyptic number.

90893971671889 is the 9533833-rd square number.

90893971671889 is the 4766917-th centered octagonal number.

It is an amenable number.

90893971671889 is a deficient number, since it is larger than the sum of its proper divisors (3026951690360).

90893971671889 is an frugal number, since it uses more digits than its factorization.

90893971671889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615148 (or 307574 counting only the distinct ones).

The product of its (nonzero) digits is 2962842624, while the sum is 85.

The spelling of 90893971671889 in words is "ninety trillion, eight hundred ninety-three billion, nine hundred seventy-one million, six hundred seventy-one thousand, eight hundred eighty-nine".