8901609679393 has 24 divisors (see below), whose sum is σ = 9186601790520. Its totient is φ = 8625168437760.

The previous prime is 8901609679349. The next prime is 8901609679397. The reversal of 8901609679393 is 3939769061098.

It can be written as a sum of positive squares in 12 ways, for example, as 2852528457249 + 6049081222144 = 1688943^2 + 2459488^2 .

It is a de Polignac number, because none of the positive numbers 2^k-8901609679393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8901609679397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1352619363 + ... + 1352625943.

It is an arithmetic number, because the mean of its divisors is an integer number (382775074605).

Almost surely, 2^{8901609679393} is an apocalyptic number.

It is an amenable number.

8901609679393 is a deficient number, since it is larger than the sum of its proper divisors (284992111127).

8901609679393 is a wasteful number, since it uses less digits than its factorization.

8901609679393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10597 (or 10560 counting only the distinct ones).

The product of its (nonzero) digits is 119042784, while the sum is 70.

The spelling of 8901609679393 in words is "eight trillion, nine hundred one billion, six hundred nine million, six hundred seventy-nine thousand, three hundred ninety-three".