10046566344960 has 864 divisors, whose sum is σ = 38425583196000. Its totient is φ = 2412059295744.

The previous prime is 10046566344907. The next prime is 10046566344973. The reversal of 10046566344960 is 6944366564001.

10046566344960 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 6 + 566 + 34 + 49 + 6 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 124671135744 + 9921895209216 = 353088^2 + 3149904^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10046566344897 and 10046566344906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 619042126 + ... + 619058354.

It is an arithmetic number, because the mean of its divisors is an integer number (44474054625).

Almost surely, 2^{10046566344960} is an apocalyptic number.

10046566344960 is a gapful number since it is divisible by the number (10) 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 10046566344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19212791598000).

10046566344960 is an abundant number, since it is smaller than the sum of its proper divisors (28379016851040).

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

10046566344960 is a wasteful number, since it uses less digits than its factorization.

10046566344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16411 (or 16394 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 10046566344960 in words is "ten trillion, forty-six billion, five hundred sixty-six million, three hundred forty-four thousand, nine hundred sixty".