456241302004452 has 24 divisors (see below), whose sum is σ = 1064567748412896. Its totient is φ = 152079761086848.

The previous prime is 456241302004451. The next prime is 456241302004463. The reversal of 456241302004452 is 254400203142654.

It is a super-2 number, since 2×456241302004452² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456241302004451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81285493 + ... + 86716860.

It is an arithmetic number, because the mean of its divisors is an integer number (44356989517204).

Almost surely, 2^{456241302004452} is an apocalyptic number.

It is an amenable number.

456241302004452 is an abundant number, since it is smaller than the sum of its proper divisors (608326446408444).

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

456241302004452 is a wasteful number, since it uses less digits than its factorization.

456241302004452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168228667 (or 168228665 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 456241302004452 in words is "four hundred fifty-six trillion, two hundred forty-one billion, three hundred two million, four thousand, four hundred fifty-two".