193305468720 has 320 divisors, whose sum is σ = 738056761344. Its totient is φ = 40756469760.

The previous prime is 193305468679. The next prime is 193305468739. The reversal of 193305468720 is 27864503391.

193305468720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 193305468720.

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 63 ways as a sum of consecutive naturals, for example, 47019465 + ... + 47023575.

It is a 1-persistent number, because it is pandigital, but 2⋅193305468720 = 386610937440 is not.

Almost surely, 2^193305468720 is an apocalyptic number.

193305468720 is a gapful number since it is divisible by the number (10) 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 193305468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369028380672).

193305468720 is an abundant number, since it is smaller than the sum of its proper divisors (544751292624).

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

193305468720 is a wasteful number, since it uses less digits than its factorization.

193305468720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 193305468720 in words is "one hundred ninety-three billion, three hundred five million, four hundred sixty-eight thousand, seven hundred twenty".