1468115856 has 135 divisors (see below), whose sum is σ = 4287117627. Its totient is φ = 468987840.

The previous prime is 1468115851. The next prime is 1468115861. The reversal of 1468115856 is 6585118641.

The square root of 1468115856 is 38316.

It is a perfect power (a square), and thus also a powerful number.

1468115856 is a `hidden beast` number, since 1 + 4 + 68 + 1 + 1 + 585 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1468115851) and next prime (1468115861).

It is a super-2 number, since 2×1468115856² = 4310728333277225472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1468115851) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14253501 + ... + 14253603.

Almost surely, 2^1468115856 is an apocalyptic number.

1468115856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1468115856 is the 38316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468115856

1468115856 is an abundant number, since it is smaller than the sum of its proper divisors (2819001771).

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

1468115856 is a wasteful number, since it uses less digits than its factorization.

1468115856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 139 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The cubic root of 1468115856 is about 1136.5453681397.

Multiplying 1468115856 by its product of digits (230400), we get a square (338253893222400 = 18391680²).

The spelling of 1468115856 in words is "one billion, four hundred sixty-eight million, one hundred fifteen thousand, eight hundred fifty-six".