456788823552 has 200 divisors, whose sum is σ = 1371296791656. Its totient is φ = 151380430848.

The previous prime is 456788823539. The next prime is 456788823587. The reversal of 456788823552 is 255328887654.

456788823552 is a `hidden beast` number, since 4 + 5 + 6 + 78 + 8 + 8 + 2 + 3 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 456788823552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7142823 + ... + 7206489.

Almost surely, 2^456788823552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456788823552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685648395828).

456788823552 is an abundant number, since it is smaller than the sum of its proper divisors (914507968104).

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

456788823552 is an equidigital number, since it uses as much as digits as its factorization.

456788823552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63870 (or 63845 counting only the distinct ones).

The product of its digits is 129024000, while the sum is 63.

The spelling of 456788823552 in words is "four hundred fifty-six billion, seven hundred eighty-eight million, eight hundred twenty-three thousand, five hundred fifty-two".