193796097841152 has 960 divisors, whose sum is σ = 613872878018400. Its totient is φ = 60821707161600.

The previous prime is 193796097841147. The next prime is 193796097841169. The reversal of 193796097841152 is 251148790697391.

193796097841152 is a `hidden beast` number, since 1 + 9 + 3 + 7 + 9 + 609 + 7 + 8 + 4 + 1 + 1 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32554355808 + ... + 32554361760.

It is a 2-persistent number, because it is pandigital, and so is 2⋅193796097841152 = 387592195682304, but 3⋅193796097841152 = 581388293523456 is not.

Almost surely, 2^{193796097841152} is an apocalyptic number.

193796097841152 is a gapful number since it is divisible by the number (12) 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 193796097841152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306936439009200).

193796097841152 is an abundant number, since it is smaller than the sum of its proper divisors (420076780177248).

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

193796097841152 is a wasteful number, since it uses less digits than its factorization.

193796097841152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184 (or 6155 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 193796097841152 in words is "one hundred ninety-three trillion, seven hundred ninety-six billion, ninety-seven million, eight hundred forty-one thousand, one hundred fifty-two".