193968196720704 has 224 divisors, whose sum is σ = 659941359718400. Its totient is φ = 54717972042240.

The previous prime is 193968196720703. The next prime is 193968196720709. The reversal of 193968196720704 is 407027691869391.

193968196720704 is a `hidden beast` number, since 1 + 9 + 396 + 81 + 96 + 7 + 2 + 0 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×193968196720704² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (193968196720703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100536382 + ... + 102447549.

Almost surely, 2^{193968196720704} is an apocalyptic number.

193968196720704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

193968196720704 is an abundant number, since it is smaller than the sum of its proper divisors (465973162997696).

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

193968196720704 is a wasteful number, since it uses less digits than its factorization.

193968196720704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202984038 (or 202984022 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 193968196720704 in words is "one hundred ninety-three trillion, nine hundred sixty-eight billion, one hundred ninety-six million, seven hundred twenty thousand, seven hundred four".