456047685986256 has 640 divisors, whose sum is σ = 1735387808071680. Its totient is φ = 111335710464000.

The previous prime is 456047685986201. The next prime is 456047685986257. The reversal of 456047685986256 is 652689586740654.

456047685986256 is a `hidden beast` number, since 4 + 5 + 6 + 0 + 476 + 8 + 5 + 98 + 6 + 2 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456047685986257) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19894306 + ... + 36164606.

It is an arithmetic number, because the mean of its divisors is an integer number (2711543450112).

Almost surely, 2^{456047685986256} is an apocalyptic number.

456047685986256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456047685986256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867693904035840).

456047685986256 is an abundant number, since it is smaller than the sum of its proper divisors (1279340122085424).

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

456047685986256 is a wasteful number, since it uses less digits than its factorization.

456047685986256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16270392 (or 16270380 counting only the distinct ones).

The product of its (nonzero) digits is 20901888000, while the sum is 81.

The spelling of 456047685986256 in words is "four hundred fifty-six trillion, forty-seven billion, six hundred eighty-five million, nine hundred eighty-six thousand, two hundred fifty-six".