1457460160160 has 24 divisors (see below), whose sum is σ = 3443249628756. Its totient is φ = 582984064000.

The previous prime is 1457460160151. The next prime is 1457460160193. The reversal of 1457460160160 is 610610647541.

It can be written as a sum of positive squares in 2 ways, for example, as 1455140389264 + 2319770896 = 1206292^2 + 48164^2 .

It is a super-2 number, since 2×1457460160160² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4554562841 + ... + 4554563160.

Almost surely, 2^{1457460160160} is an apocalyptic number.

1457460160160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1457460160160 is an abundant number, since it is smaller than the sum of its proper divisors (1985789468596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1457460160160 is an equidigital number, since it uses as much as digits as its factorization.

1457460160160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9109126016 (or 9109126008 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 1457460160160 in words is "one trillion, four hundred fifty-seven billion, four hundred sixty million, one hundred sixty thousand, one hundred sixty".