1456518456 has 64 divisors (see below), whose sum is σ = 4052563200. Its totient is φ = 484704864.

The previous prime is 1456518451. The next prime is 1456518457. The reversal of 1456518456 is 6548156541.

1456518456 is a `hidden beast` number, since 1 + 4 + 565 + 1 + 84 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456518451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133645 + ... + 144131.

It is an arithmetic number, because the mean of its divisors is an integer number (63321300).

Almost surely, 2^1456518456 is an apocalyptic number.

It is an amenable number.

1456518456 is an abundant number, since it is smaller than the sum of its proper divisors (2596044744).

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

1456518456 is a wasteful number, since it uses less digits than its factorization.

1456518456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11145 (or 11135 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 1456518456 is about 38164.3610715547. The cubic root of 1456518456 is about 1133.5447348054.

The spelling of 1456518456 in words is "one billion, four hundred fifty-six million, five hundred eighteen thousand, four hundred fifty-six".