456222360053304 has 96 divisors (see below), whose sum is σ = 1333534990788000. Its totient is φ = 140071607159040.

The previous prime is 456222360053263. The next prime is 456222360053309. The reversal of 456222360053304 is 403350063222654.

It is a happy number.

456222360053304 is a `hidden beast` number, since 4 + 5 + 6 + 2 + 2 + 2 + 3 + 600 + 5 + 3 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 456222360053304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456222360053309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528220404 + ... + 529083395.

It is an arithmetic number, because the mean of its divisors is an integer number (13890989487375).

Almost surely, 2^{456222360053304} is an apocalyptic number.

It is an amenable number.

456222360053304 is an abundant number, since it is smaller than the sum of its proper divisors (877312630734696).

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

456222360053304 is a wasteful number, since it uses less digits than its factorization.

456222360053304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057304285 (or 1057304278 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 456222360053304 in words is "four hundred fifty-six trillion, two hundred twenty-two billion, three hundred sixty million, fifty-three thousand, three hundred four".