193960083456 has 228 divisors, whose sum is σ = 564342526800. Its totient is φ = 64191725568.

The previous prime is 193960083413. The next prime is 193960083479. The reversal of 193960083456 is 654380069391.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 540278605 + ... + 540278963.

Almost surely, 2^193960083456 is an apocalyptic number.

193960083456 is a gapful number since it is divisible by the number (16) 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 193960083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282171263400).

193960083456 is an abundant number, since it is smaller than the sum of its proper divisors (370382443344).

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

193960083456 is an frugal number, since it uses more digits than its factorization.

193960083456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 193960083456 in words is "one hundred ninety-three billion, nine hundred sixty million, eighty-three thousand, four hundred fifty-six".