9313379479089 has 189 divisors, whose sum is σ = 16558229633211. Its totient is φ = 5220746213760.

The previous prime is 9313379479037. The next prime is 9313379479093. The reversal of 9313379479089 is 9809749733139.

The square root of 9313379479089 is 3051783.

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

9313379479089 is a `hidden beast` number, since 9 + 3 + 1 + 3 + 3 + 79 + 479 + 0 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7004316885489 + 2309062593600 = 2646567^2 + 1519560^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 9313379479089 - 2³⁵ = 9279019740721 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9313379479489) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 38644728009 + ... + 38644728249.

It is an arithmetic number, because the mean of its divisors is an integer number (87609680599).

Almost surely, 2^{9313379479089} is an apocalyptic number.

9313379479089 is the 3051783-rd square number.

9313379479089 is the 1525892-nd centered octagonal number.

It is an amenable number.

9313379479089 is a deficient number, since it is larger than the sum of its proper divisors (7244850154122).

9313379479089 is an frugal number, since it uses more digits than its factorization.

9313379479089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 277766496, while the sum is 72.

The spelling of 9313379479089 in words is "nine trillion, three hundred thirteen billion, three hundred seventy-nine million, four hundred seventy-nine thousand, eighty-nine".