199249259768 has 64 divisors (see below), whose sum is σ = 407151427200. Its totient is φ = 90865514880.

The previous prime is 199249259767. The next prime is 199249259777. The reversal of 199249259768 is 867952942991.

It is a super-4 number, since 4×199249259768⁴ (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 (199249259767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3017555 + ... + 3082877.

It is an arithmetic number, because the mean of its divisors is an integer number (6361741050).

Almost surely, 2^199249259768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199249259768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203575713600).

199249259768 is an abundant number, since it is smaller than the sum of its proper divisors (207902167432).

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

199249259768 is a wasteful number, since it uses less digits than its factorization.

199249259768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65692 (or 65688 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 71.

The spelling of 199249259768 in words is "one hundred ninety-nine billion, two hundred forty-nine million, two hundred fifty-nine thousand, seven hundred sixty-eight".