199764177437344 has 48 divisors (see below), whose sum is σ = 427731922666440. Its totient is φ = 91285991193600.

The previous prime is 199764177437327. The next prime is 199764177437381. The reversal of 199764177437344 is 443734771467991.

It is a happy number.

199764177437344 is digitally balanced in base 2, 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 4 ways, for example, as 199481387468944 + 282789968400 = 14123788^2 + 531780^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2377197339 + ... + 2377281370.

Almost surely, 2^{199764177437344} is an apocalyptic number.

It is an amenable number.

199764177437344 is an abundant number, since it is smaller than the sum of its proper divisors (227967745229096).

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

199764177437344 is a wasteful number, since it uses less digits than its factorization.

199764177437344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754478833 (or 4754478825 counting only the distinct ones).

The product of its digits is 2688505344, while the sum is 76.

The spelling of 199764177437344 in words is "one hundred ninety-nine trillion, seven hundred sixty-four billion, one hundred seventy-seven million, four hundred thirty-seven thousand, three hundred forty-four".