193414328393104 has 225 divisors, whose sum is σ = 472408672765767. Its totient is φ = 76489523929728.

The previous prime is 193414328393093. The next prime is 193414328393129. The reversal of 193414328393104 is 401393823414391.

The square root of 193414328393104 is 13907348.

It is a perfect power (a square), and thus also a powerful number.

193414328393104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 95897913391504 + 97516415001600 = 9792748^2 + 9875040^2 .

It is a super-2 number, since 2×193414328393104² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 65809569267 + ... + 65809572205.

Almost surely, 2^{193414328393104} is an apocalyptic number.

193414328393104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

193414328393104 is the 13907348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193414328393104

193414328393104 is an abundant number, since it is smaller than the sum of its proper divisors (278994344372663).

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

193414328393104 is an frugal number, since it uses more digits than its factorization.

193414328393104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 55.

The spelling of 193414328393104 in words is "one hundred ninety-three trillion, four hundred fourteen billion, three hundred twenty-eight million, three hundred ninety-three thousand, one hundred four".