456148665 has 48 divisors (see below), whose sum is σ = 937093248. Its totient is φ = 208521216.

The previous prime is 456148619. The next prime is 456148697. The reversal of 456148665 is 566841654.

456148665 is a `hidden beast` number, since 4 + 561 + 4 + 86 + 6 + 5 = 666.

It is not a de Polignac number, because 456148665 - 2¹² = 456144569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 456148665.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18312 + ... + 35321.

It is an arithmetic number, because the mean of its divisors is an integer number (19522776).

Almost surely, 2^456148665 is an apocalyptic number.

456148665 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456148665 is an abundant number, since it is smaller than the sum of its proper divisors (480944583).

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

456148665 is an equidigital number, since it uses as much as digits as its factorization.

456148665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53660 (or 53648 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 456148665 is about 21357.6371586372. The cubic root of 456148665 is about 769.7838629887.

The spelling of 456148665 in words is "four hundred fifty-six million, one hundred forty-eight thousand, six hundred sixty-five".