490365468121 has 9 divisors (see below), whose sum is σ = 494823237181. Its totient is φ = 485947521472.

The previous prime is 490365468107. The next prime is 490365468143. The reversal of 490365468121 is 121864563094.

The square root of 490365468121 is 700261.

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

It can be written as a sum of positive squares in 4 ways, for example, as 232768616521 + 257596851600 = 482461^2 + 507540^2 .

It is not a de Polignac number, because 490365468121 - 2²¹ = 490363370969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (490365468191) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79126395 + ... + 79132591.

Almost surely, 2^490365468121 is an apocalyptic number.

490365468121 is the 700261-st square number.

490365468121 is the 350131-st centered octagonal number.

It is an amenable number.

490365468121 is a deficient number, since it is larger than the sum of its proper divisors (4457769060).

490365468121 is an frugal number, since it uses more digits than its factorization.

490365468121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12620 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 490365468121 by its sum of digits (49), we get a square (24027907937929 = 4901827²).

The spelling of 490365468121 in words is "four hundred ninety billion, three hundred sixty-five million, four hundred sixty-eight thousand, one hundred twenty-one".