10645661412000 has 384 divisors, whose sum is σ = 40435008606720. Its totient is φ = 2715414451200.

The previous prime is 10645661411993. The next prime is 10645661412091. The reversal of 10645661412000 is 21416654601.

10645661412000 is a `hidden beast` number, since 1 + 0 + 64 + 566 + 14 + 1 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×10645661412000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341154 + ... + 4626846.

It is an arithmetic number, because the mean of its divisors is an integer number (105299501580).

Almost surely, 2^{10645661412000} is an apocalyptic number.

10645661412000 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 10645661412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217504303360).

10645661412000 is an abundant number, since it is smaller than the sum of its proper divisors (29789347194720).

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

10645661412000 is a wasteful number, since it uses less digits than its factorization.

10645661412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285750 (or 4285726 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10645661412000 in words is "ten trillion, six hundred forty-five billion, six hundred sixty-one million, four hundred twelve thousand".