193140382099392 has 1008 divisors, whose sum is σ = 716647240108800. Its totient is φ = 49243175976960.

The previous prime is 193140382099369. The next prime is 193140382099411. The reversal of 193140382099392 is 293990283041391.

193140382099392 is a `hidden beast` number, since 1 + 9 + 3 + 1 + 4 + 0 + 38 + 209 + 9 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11476632034 + ... + 11476648862.

It is an arithmetic number, because the mean of its divisors is an integer number (710959563600).

Almost surely, 2^{193140382099392} is an apocalyptic number.

193140382099392 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 193140382099392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358323620054400).

193140382099392 is an abundant number, since it is smaller than the sum of its proper divisors (523506858009408).

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

193140382099392 is a wasteful number, since it uses less digits than its factorization.

193140382099392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17914 (or 17894 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 193140382099392 in words is "one hundred ninety-three trillion, one hundred forty billion, three hundred eighty-two million, ninety-nine thousand, three hundred ninety-two".