924268809321 has 243 divisors, whose sum is σ = 1670173650327. Its totient is φ = 510843659040.

The previous prime is 924268809307. The next prime is 924268809341. The reversal of 924268809321 is 123908862429.

The square root of 924268809321 is 961389.

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., 136726155225 + 787542654096 = 369765^2 + 887436^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 924268809321 - 2¹³ = 924268801129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (924268809341) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 11135768746 + ... + 11135768828.

Almost surely, 2^924268809321 is an apocalyptic number.

924268809321 is the 961389-th square number.

924268809321 is the 480695-th centered octagonal number.

It is an amenable number.

924268809321 is a deficient number, since it is larger than the sum of its proper divisors (745904841006).

924268809321 is an frugal number, since it uses more digits than its factorization.

924268809321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 924268809321 in words is "nine hundred twenty-four billion, two hundred sixty-eight million, eight hundred nine thousand, three hundred twenty-one".