193032232108816 has 45 divisors (see below), whose sum is σ = 380238284788479. Its totient is φ = 94932217411200.

The previous prime is 193032232108801. The next prime is 193032232108853. The reversal of 193032232108816 is 618801232230391.

The square root of 193032232108816 is 13893604.

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

193032232108816 is digitally balanced in base 3, 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 4 ways, for example, as 60133759123216 + 132898472985600 = 7754596^2 + 11528160^2 .

It is a super-2 number, since 2×193032232108816² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 193032232108816.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3390010906 + ... + 3390067846.

Almost surely, 2^{193032232108816} is an apocalyptic number.

193032232108816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

193032232108816 is the 13893604-th square number.

It is an amenable number.

193032232108816 is a deficient number, since it is larger than the sum of its proper divisors (187206052679663).

193032232108816 is an frugal number, since it uses more digits than its factorization.

193032232108816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114012 (or 57004 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 193032232108816 in words is "one hundred ninety-three trillion, thirty-two billion, two hundred thirty-two million, one hundred eight thousand, eight hundred sixteen".