193968140625 has 336 divisors, whose sum is σ = 432601962624. Its totient is φ = 81734400000.

The previous prime is 193968140581. The next prime is 193968140657. The reversal of 193968140625 is 526041869391.

193968140625 is a `hidden beast` number, since 1 + 9 + 3 + 9 + 6 + 8 + 1 + 4 + 0 + 625 = 666.

193968140625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 193968140625 - 2¹⁶ = 193968075089 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1121203039 + ... + 1121203211.

Almost surely, 2^193968140625 is an apocalyptic number.

193968140625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

193968140625 is an abundant number, since it is smaller than the sum of its proper divisors (238633821999).

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

193968140625 is an equidigital number, since it uses as much as digits as its factorization.

193968140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 193968140625 in words is "one hundred ninety-three billion, nine hundred sixty-eight million, one hundred forty thousand, six hundred twenty-five".