456819720148 has 72 divisors (see below), whose sum is σ = 930813256296. Its totient is φ = 195345469440.

The previous prime is 456819720143. The next prime is 456819720167. The reversal of 456819720148 is 841027918654.

It can be written as a sum of positive squares in 4 ways, for example, as 62614051984 + 394205668164 = 250228^2 + 627858^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456819720143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21028140 + ... + 21049852.

It is an arithmetic number, because the mean of its divisors is an integer number (12927961893).

Almost surely, 2^456819720148 is an apocalyptic number.

It is an amenable number.

456819720148 is an abundant number, since it is smaller than the sum of its proper divisors (473993536148).

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

456819720148 is a wasteful number, since it uses less digits than its factorization.

456819720148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24313 (or 24300 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 456819720148 in words is "four hundred fifty-six billion, eight hundred nineteen million, seven hundred twenty thousand, one hundred forty-eight".