464798061121 has 9 divisors (see below), whose sum is σ = 481398730761. Its totient is φ = 448751452464.

The previous prime is 464798061113. The next prime is 464798061163. The reversal of 464798061121 is 121160897464.

The square root of 464798061121 is 681761.

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 183431467521 + 281366593600 = 428289^2 + 530440^2 .

It is not a de Polignac number, because 464798061121 - 2³ = 464798061113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464798061421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19759315 + ... + 19782823.

Almost surely, 2^464798061121 is an apocalyptic number.

464798061121 is the 681761-st square number.

464798061121 is the 340881-st centered octagonal number.

It is an amenable number.

464798061121 is a deficient number, since it is larger than the sum of its proper divisors (16600669640).

464798061121 is an frugal number, since it uses more digits than its factorization.

464798061121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47076 (or 23538 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 464798061121 by its sum of digits (49), we get a square (22775104994929 = 4772327²).

The spelling of 464798061121 in words is "four hundred sixty-four billion, seven hundred ninety-eight million, sixty-one thousand, one hundred twenty-one".