193391407872 has 288 divisors, whose sum is σ = 635760527360. Its totient is φ = 57584701440.

The previous prime is 193391407871. The next prime is 193391407883. The reversal of 193391407872 is 278704193391.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (193391407871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2750823 + ... + 2820249.

Almost surely, 2^193391407872 is an apocalyptic number.

193391407872 is a gapful number since it is divisible by the number (12) 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 193391407872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317880263680).

193391407872 is an abundant number, since it is smaller than the sum of its proper divisors (442369119488).

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

193391407872 is a wasteful number, since it uses less digits than its factorization.

193391407872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69496 (or 69476 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 193391407872 in words is "one hundred ninety-three billion, three hundred ninety-one million, four hundred seven thousand, eight hundred seventy-two".