199293625344 has 792 divisors, whose sum is σ = 669122770464. Its totient is φ = 52110950400.

The previous prime is 199293625343. The next prime is 199293625379. The reversal of 199293625344 is 443526392991.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199293625343) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6428826609 + ... + 6428826639.

Almost surely, 2^199293625344 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 199293625344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334561385232).

199293625344 is an abundant number, since it is smaller than the sum of its proper divisors (469829145120).

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

199293625344 is a wasteful number, since it uses less digits than its factorization.

199293625344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 83 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 57.

The spelling of 199293625344 in words is "one hundred ninety-nine billion, two hundred ninety-three million, six hundred twenty-five thousand, three hundred forty-four".