199642815952 has 80 divisors (see below), whose sum is σ = 417760774992. Its totient is φ = 92072714240.

The previous prime is 199642815943. The next prime is 199642815973. The reversal of 199642815952 is 259518246991.

199642815952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8477989776 + 191164826176 = 92076^2 + 437224^2 .

It is a super-2 number, since 2×199642815952² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13558098 + ... + 13572814.

Almost surely, 2^199642815952 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 199642815952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208880387496).

199642815952 is an abundant number, since it is smaller than the sum of its proper divisors (218117959040).

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

199642815952 is a wasteful number, since it uses less digits than its factorization.

199642815952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15736 (or 15730 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 61.

The spelling of 199642815952 in words is "one hundred ninety-nine billion, six hundred forty-two million, eight hundred fifteen thousand, nine hundred fifty-two".