9338824290601 has 27 divisors (see below), whose sum is σ = 10450563924087. Its totient is φ = 8341273914480.

The previous prime is 9338824290581. The next prime is 9338824290617. The reversal of 9338824290601 is 1060924288339.

The square root of 9338824290601 is 3055949.

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

It can be written as a sum of positive squares in only one way, i.e., 1381482883225 + 7957341407376 = 1175365^2 + 2820876^2 .

It is not a de Polignac number, because 9338824290601 - 2¹³ = 9338824282409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9338824290701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1231543656 + ... + 1231551238.

Almost surely, 2^{9338824290601} is an apocalyptic number.

9338824290601 is the 3055949-th square number.

9338824290601 is the 1527975-th centered octagonal number.

It is an amenable number.

9338824290601 is a deficient number, since it is larger than the sum of its proper divisors (1111739633486).

9338824290601 is an frugal number, since it uses more digits than its factorization.

9338824290601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15254 (or 7627 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 9338824290601 in words is "nine trillion, three hundred thirty-eight billion, eight hundred twenty-four million, two hundred ninety thousand, six hundred one".