193012866816 has 576 divisors, whose sum is σ = 696587351040. Its totient is φ = 45900103680.

The previous prime is 193012866773. The next prime is 193012866817. The reversal of 193012866816 is 618668210391.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193012866817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37193950 + ... + 37199138.

It is an arithmetic number, because the mean of its divisors is an integer number (1209353040).

Almost surely, 2^193012866816 is an apocalyptic number.

193012866816 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 193012866816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348293675520).

193012866816 is an abundant number, since it is smaller than the sum of its proper divisors (503574484224).

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

193012866816 is a wasteful number, since it uses less digits than its factorization.

193012866816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 193012866816 in words is "one hundred ninety-three billion, twelve million, eight hundred sixty-six thousand, eight hundred sixteen".