456516971856 has 180 divisors, whose sum is σ = 1406205140340. Its totient is φ = 138152678400.

The previous prime is 456516971837. The next prime is 456516971873. The reversal of 456516971856 is 658179615654.

456516971856 is a `hidden beast` number, since 4 + 56 + 516 + 9 + 7 + 18 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23526651456 + 432990320400 = 153384^2 + 658020^2 .

It is a junction number, because it is equal to n+sod(n) for n = 456516971793 and 456516971802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13242450 + ... + 13276878.

Almost surely, 2^456516971856 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 456516971856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703102570170).

456516971856 is an abundant number, since it is smaller than the sum of its proper divisors (949688168484).

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

456516971856 is a wasteful number, since it uses less digits than its factorization.

456516971856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35226 (or 35206 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 456516971856 in words is "four hundred fifty-six billion, five hundred sixteen million, nine hundred seventy-one thousand, eight hundred fifty-six".