193857128472 has 192 divisors, whose sum is σ = 584475264000. Its totient is φ = 53361686784.

The previous prime is 193857128471. The next prime is 193857128477. The reversal of 193857128472 is 274821758391.

It is a happy number.

It is a super-4 number, since 4×193857128472⁴ (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193857128471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16329883 + ... + 16341749.

It is an arithmetic number, because the mean of its divisors is an integer number (3044142000).

Almost surely, 2^193857128472 is an apocalyptic number.

193857128472 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 193857128472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292237632000).

193857128472 is an abundant number, since it is smaller than the sum of its proper divisors (390618135528).

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

193857128472 is a wasteful number, since it uses less digits than its factorization.

193857128472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12398 (or 12387 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 57.

The spelling of 193857128472 in words is "one hundred ninety-three billion, eight hundred fifty-seven million, one hundred twenty-eight thousand, four hundred seventy-two".