199294387776 has 567 divisors, whose sum is σ = 670209256353. Its totient is φ = 56570849280.

The previous prime is 199294387739. The next prime is 199294387843. The reversal of 199294387776 is 677783492991.

The square root of 199294387776 is 446424.

It is a perfect power (a square), and thus also a powerful number.

199294387776 is a `hidden beast` number, since 1 + 9 + 92 + 94 + 387 + 7 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38268749376 + 161025638400 = 195624^2 + 401280^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2239262740 + ... + 2239262828.

Almost surely, 2^199294387776 is an apocalyptic number.

199294387776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

199294387776 is the 446424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199294387776

199294387776 is an abundant number, since it is smaller than the sum of its proper divisors (470914868577).

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

199294387776 is a wasteful number, since it uses less digits than its factorization.

199294387776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 124 counting only the distinct ones).

The product of its digits is 288054144, while the sum is 72.

The spelling of 199294387776 in words is "one hundred ninety-nine billion, two hundred ninety-four million, three hundred eighty-seven thousand, seven hundred seventy-six".