900917993889 has 45 divisors (see below), whose sum is σ = 1354329755779. Its totient is φ = 596836209600.

The previous prime is 900917993827. The next prime is 900917993897. The reversal of 900917993889 is 988399719009.

The square root of 900917993889 is 949167.

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

900917993889 is a `hidden beast` number, since 90 + 0 + 91 + 79 + 9 + 388 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 891953691489 + 8964302400 = 944433^2 + 94680^2 .

It is not a de Polignac number, because 900917993889 - 2⁷ = 900917993761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (900917993809) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2246678089 + ... + 2246678489.

Almost surely, 2^900917993889 is an apocalyptic number.

900917993889 is the 949167-th square number.

900917993889 is the 474584-th centered octagonal number.

It is an amenable number.

900917993889 is a deficient number, since it is larger than the sum of its proper divisors (453411761890).

900917993889 is an frugal number, since it uses more digits than its factorization.

900917993889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 72.

The spelling of 900917993889 in words is "nine hundred billion, nine hundred seventeen million, nine hundred ninety-three thousand, eight hundred eighty-nine".