2193646968864 has 960 divisors, whose sum is σ = 7729964960256. Its totient is φ = 603399684096.

The previous prime is 2193646968833. The next prime is 2193646968901. The reversal of 2193646968864 is 4688696463912.

2193646968864 is a `hidden beast` number, since 2 + 19 + 36 + 469 + 68 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 2193646968792 and 2193646968801.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2200247214 + ... + 2200248210.

Almost surely, 2^{2193646968864} is an apocalyptic number.

2193646968864 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 2193646968864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864982480128).

2193646968864 is an abundant number, since it is smaller than the sum of its proper divisors (5536317991392).

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

2193646968864 is a wasteful number, since it uses less digits than its factorization.

2193646968864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1222 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 2193646968864 in words is "two trillion, one hundred ninety-three billion, six hundred forty-six million, nine hundred sixty-eight thousand, eight hundred sixty-four".