454426404226002 has 128 divisors (see below), whose sum is σ = 1089746251776000. Its totient is φ = 139537045251648.

The previous prime is 454426404225967. The next prime is 454426404226033. The reversal of 454426404226002 is 200622404624454.

It is a happy number.

454426404226002 is a `hidden beast` number, since 4 + 544 + 2 + 6 + 4 + 0 + 42 + 2 + 60 + 0 + 2 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 758596999 + ... + 759195797.

It is an arithmetic number, because the mean of its divisors is an integer number (8513642592000).

Almost surely, 2^{454426404226002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454426404226002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544873125888000).

454426404226002 is an abundant number, since it is smaller than the sum of its proper divisors (635319847549998).

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

454426404226002 is a wasteful number, since it uses less digits than its factorization.

454426404226002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601037 (or 601031 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

The spelling of 454426404226002 in words is "four hundred fifty-four trillion, four hundred twenty-six billion, four hundred four million, two hundred twenty-six thousand, two".