2146966861824 has 144 divisors (see below), whose sum is σ = 6223730254560. Its totient is φ = 713013166080.

The previous prime is 2146966861811. The next prime is 2146966861849. The reversal of 2146966861824 is 4281686696412.

2146966861824 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 9 + 6 + 6 + 8 + 618 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4780164 + ... + 5209980.

It is an arithmetic number, because the mean of its divisors is an integer number (43220348990).

Almost surely, 2^{2146966861824} is an apocalyptic number.

2146966861824 is a gapful number since it is divisible by the number (24) 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 2146966861824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111865127280).

2146966861824 is an abundant number, since it is smaller than the sum of its proper divisors (4076763392736).

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

2146966861824 is a wasteful number, since it uses less digits than its factorization.

2146966861824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430116 (or 430093 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 2146966861824 in words is "two trillion, one hundred forty-six billion, nine hundred sixty-six million, eight hundred sixty-one thousand, eight hundred twenty-four".