461118409249 has 9 divisors (see below), whose sum is σ = 462262734873. Its totient is φ = 459976914432.

The previous prime is 461118409223. The next prime is 461118409273. The reversal of 461118409249 is 942904811164.

The square root of 461118409249 is 679057.

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 61734856225 + 399383553024 = 248465^2 + 631968^2 .

It is not a de Polignac number, because 461118409249 - 2³¹ = 458970925601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461118409849) 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, 457004857 + ... + 457005865.

It is an arithmetic number, because the mean of its divisors is an integer number (51362526097).

Almost surely, 2^461118409249 is an apocalyptic number.

461118409249 is the 679057-th square number.

461118409249 is the 339529-th centered octagonal number.

It is an amenable number.

461118409249 is a deficient number, since it is larger than the sum of its proper divisors (1144325624).

461118409249 is an frugal number, since it uses more digits than its factorization.

461118409249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

Multiplying 461118409249 by its sum of digits (49), we get a square (22594802053201 = 4753399²).

The spelling of 461118409249 in words is "four hundred sixty-one billion, one hundred eighteen million, four hundred nine thousand, two hundred forty-nine".