1456515648 has 112 divisors (see below), whose sum is σ = 4893624960. Its totient is φ = 416143872.

The previous prime is 1456515617. The next prime is 1456515659. The reversal of 1456515648 is 8465156541.

1456515648 is a `hidden beast` number, since 1 + 456 + 5 + 156 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1456515648³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48111 + ... + 72302.

It is an arithmetic number, because the mean of its divisors is an integer number (43693080).

Almost surely, 2^1456515648 is an apocalyptic number.

1456515648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1456515648 is an abundant number, since it is smaller than the sum of its proper divisors (3437109312).

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

1456515648 is a wasteful number, since it uses less digits than its factorization.

1456515648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120441 (or 120425 counting only the distinct ones).

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

The square root of 1456515648 is about 38164.3242832884. The cubic root of 1456515648 is about 1133.5440063569.

The spelling of 1456515648 in words is "one billion, four hundred fifty-six million, five hundred fifteen thousand, six hundred forty-eight".