1461264656 has 30 divisors (see below), whose sum is σ = 2865840570. Its totient is φ = 721709824.

The previous prime is 1461264647. The next prime is 1461264661. The reversal of 1461264656 is 6564621641.

It can be written as a sum of positive squares in 3 ways, for example, as 353440000 + 1107824656 = 18800^2 + 33284^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1442006 + ... + 1443018.

It is an arithmetic number, because the mean of its divisors is an integer number (95528019).

Almost surely, 2^1461264656 is an apocalyptic number.

1461264656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1461264656 is a deficient number, since it is larger than the sum of its proper divisors (1404575914).

1461264656 is an frugal number, since it uses more digits than its factorization.

1461264656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 1104 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 1461264656 is about 38226.4915470934. The cubic root of 1461264656 is about 1134.7746532636.

The spelling of 1461264656 in words is "one billion, four hundred sixty-one million, two hundred sixty-four thousand, six hundred fifty-six".