456011146255 has 64 divisors (see below), whose sum is σ = 661773772800. Its totient is φ = 294677429760.

The previous prime is 456011146243. The next prime is 456011146273. The reversal of 456011146255 is 552641110654.

It is a de Polignac number, because none of the positive numbers 2^k-456011146255 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122945341 + ... + 122949049.

It is an arithmetic number, because the mean of its divisors is an integer number (10340215200).

Almost surely, 2^456011146255 is an apocalyptic number.

456011146255 is a deficient number, since it is larger than the sum of its proper divisors (205762626545).

456011146255 is a wasteful number, since it uses less digits than its factorization.

456011146255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664.

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 456011146255 in words is "four hundred fifty-six billion, eleven million, one hundred forty-six thousand, two hundred fifty-five".