193885386768 has 60 divisors (see below), whose sum is σ = 561320492460. Its totient is φ = 62399893248.

The previous prime is 193885386731. The next prime is 193885386833. The reversal of 193885386768 is 867683588391.

193885386768 is a `hidden beast` number, since 1 + 9 + 3 + 88 + 538 + 6 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107667984384 + 86217402384 = 328128^2 + 293628^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 193885386696 and 193885386705.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23210071 + ... + 23218422.

It is an arithmetic number, because the mean of its divisors is an integer number (9355341541).

Almost surely, 2^193885386768 is an apocalyptic number.

193885386768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

193885386768 is an abundant number, since it is smaller than the sum of its proper divisors (367435105692).

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

193885386768 is a wasteful number, since it uses less digits than its factorization.

193885386768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46428536 (or 46428527 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 193885386768 in words is "one hundred ninety-three billion, eight hundred eighty-five million, three hundred eighty-six thousand, seven hundred sixty-eight".