456145536144 has 40 divisors (see below), whose sum is σ = 1182164997312. Its totient is φ = 151559605120.

The previous prime is 456145536139. The next prime is 456145536167. The reversal of 456145536144 is 441635541654.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 456145536093 and 456145536102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15263259 + ... + 15293114.

Almost surely, 2^456145536144 is an apocalyptic number.

It is an amenable number.

456145536144 is an abundant number, since it is smaller than the sum of its proper divisors (726019461168).

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

456145536144 is a wasteful number, since it uses less digits than its factorization.

456145536144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30556695 (or 30556689 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 48.

The spelling of 456145536144 in words is "four hundred fifty-six billion, one hundred forty-five million, five hundred thirty-six thousand, one hundred forty-four".