456423030126 has 96 divisors (see below), whose sum is σ = 1138109289408. Its totient is φ = 129496066560.

The previous prime is 456423030121. The next prime is 456423030131. The reversal of 456423030126 is 621030324654.

456423030126 is a `hidden beast` number, since 4 + 5 + 642 + 3 + 0 + 3 + 0 + 1 + 2 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (456423030121) and next prime (456423030131).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456423030121) 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 47 ways as a sum of consecutive naturals, for example, 10351960 + ... + 10395956.

It is an arithmetic number, because the mean of its divisors is an integer number (11855305098).

Almost surely, 2^456423030126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456423030126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569054644704).

456423030126 is an abundant number, since it is smaller than the sum of its proper divisors (681686259282).

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

456423030126 is a wasteful number, since it uses less digits than its factorization.

456423030126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44586 (or 44583 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 456423030126 in words is "four hundred fifty-six billion, four hundred twenty-three million, thirty thousand, one hundred twenty-six".