446045564045034 has 128 divisors (see below), whose sum is σ = 1017244122566400. Its totient is φ = 144825411421440.

The previous prime is 446045564045023. The next prime is 446045564045077. The reversal of 446045564045034 is 430540465540644.

446045564045034 is a `hidden beast` number, since 4 + 4 + 6 + 0 + 4 + 5 + 564 + 0 + 45 + 0 + 34 = 666.

It is a super-2 number, since 2×446045564045034² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 982778484 + ... + 983232240.

It is an arithmetic number, because the mean of its divisors is an integer number (7947219707550).

Almost surely, 2^{446045564045034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446045564045034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508622061283200).

446045564045034 is an abundant number, since it is smaller than the sum of its proper divisors (571198558521366).

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

446045564045034 is a wasteful number, since it uses less digits than its factorization.

446045564045034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456725 (or 456719 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 54.

The spelling of 446045564045034 in words is "four hundred forty-six trillion, forty-five billion, five hundred sixty-four million, forty-five thousand, thirty-four".