456313442442550 has 192 divisors, whose sum is σ = 1062798110853120. Its totient is φ = 141606146304000.

The previous prime is 456313442442467. The next prime is 456313442442563. The reversal of 456313442442550 is 55244244313654.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5278857330 + ... + 5278943770.

It is an arithmetic number, because the mean of its divisors is an integer number (5535406827360).

Almost surely, 2^{456313442442550} is an apocalyptic number.

456313442442550 is an abundant number, since it is smaller than the sum of its proper divisors (606484668410570).

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

456313442442550 is a wasteful number, since it uses less digits than its factorization.

456313442442550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92447 (or 92442 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 52.

The spelling of 456313442442550 in words is "four hundred fifty-six trillion, three hundred thirteen billion, four hundred forty-two million, four hundred forty-two thousand, five hundred fifty".