193938664615392 has 96 divisors (see below), whose sum is σ = 514127522813184. Its totient is φ = 64007068492800.

The previous prime is 193938664615363. The next prime is 193938664615441. The reversal of 193938664615392 is 293516466839391.

193938664615392 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×193938664615392² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13652292 + ... + 23963772.

It is an arithmetic number, because the mean of its divisors is an integer number (5355495029304).

Almost surely, 2^{193938664615392} is an apocalyptic number.

193938664615392 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 193938664615392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257063761406592).

193938664615392 is an abundant number, since it is smaller than the sum of its proper divisors (320188858197792).

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

193938664615392 is a wasteful number, since it uses less digits than its factorization.

193938664615392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10313432 (or 10313424 counting only the distinct ones).

The product of its digits is 1360488960, while the sum is 75.

The spelling of 193938664615392 in words is "one hundred ninety-three trillion, nine hundred thirty-eight billion, six hundred sixty-four million, six hundred fifteen thousand, three hundred ninety-two".