1164121461 has 24 divisors (see below), whose sum is σ = 1786823064. Its totient is φ = 727802880.

The previous prime is 1164121459. The next prime is 1164121477. The reversal of 1164121461 is 1641214611.

1164121461 is a `hidden beast` number, since 1 + 1 + 641 + 2 + 14 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 616280625 + 547840836 = 24825^2 + 23406^2 .

It is not a de Polignac number, because 1164121461 - 2¹ = 1164121459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164121411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29455 + ... + 56531.

It is an arithmetic number, because the mean of its divisors is an integer number (74450961).

Almost surely, 2^1164121461 is an apocalyptic number.

It is an amenable number.

1164121461 is a deficient number, since it is larger than the sum of its proper divisors (622701603).

1164121461 is a wasteful number, since it uses less digits than its factorization.

1164121461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27381 (or 27378 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1164121461 is about 34119.2242145099. The cubic root of 1164121461 is about 1051.9604977408.

The spelling of 1164121461 in words is "one billion, one hundred sixty-four million, one hundred twenty-one thousand, four hundred sixty-one".