10344132676224 has 48 divisors (see below), whose sum is σ = 29766319292970. Its totient is φ = 3448044225024.

The previous prime is 10344132676201. The next prime is 10344132676231. The reversal of 10344132676224 is 42267623144301.

10344132676224 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 13 + 2 + 6 + 7 + 622 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10187791516224 + 156341160000 = 3191832^2 + 395400^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10344132676224.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4489639767 + ... + 4489642070.

Almost surely, 2^{10344132676224} is an apocalyptic number.

It is an amenable number.

10344132676224 is an abundant number, since it is smaller than the sum of its proper divisors (19422186616746).

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

10344132676224 is an equidigital number, since it uses as much as digits as its factorization.

10344132676224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8979281857 (or 8979281842 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 10344132676224 in words is "ten trillion, three hundred forty-four billion, one hundred thirty-two million, six hundred seventy-six thousand, two hundred twenty-four".