456306214434 has 64 divisors (see below), whose sum is σ = 1052011487232. Its totient is φ = 129249792000.

The previous prime is 456306214433. The next prime is 456306214439. The reversal of 456306214434 is 434412603654.

It is a super-2 number, since 2×456306214434² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (456306214433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2177359 + ... + 2377709.

It is an arithmetic number, because the mean of its divisors is an integer number (16437679488).

Almost surely, 2^456306214434 is an apocalyptic number.

456306214434 is an abundant number, since it is smaller than the sum of its proper divisors (595705272798).

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

456306214434 is a wasteful number, since it uses less digits than its factorization.

456306214434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200831.

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 456306214434 in words is "four hundred fifty-six billion, three hundred six million, two hundred fourteen thousand, four hundred thirty-four".