199435516042896 has 405 divisors, whose sum is σ = 656992659533691. Its totient is φ = 56311507574784.

The previous prime is 199435516042879. The next prime is 199435516042909. The reversal of 199435516042896 is 698240615534991.

The square root of 199435516042896 is 14122164.

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

199435516042896 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 3 + 5 + 5 + 1 + 604 + 2 + 8 + 9 + 6 = 666.

199435516042896 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 23467862564496 + 175967653478400 = 4844364^2 + 13265280^2 .

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, 105577297120 + ... + 105577299008.

Almost surely, 2^{199435516042896} is an apocalyptic number.

199435516042896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

199435516042896 is the 14122164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199435516042896

199435516042896 is an abundant number, since it is smaller than the sum of its proper divisors (457557143490795).

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

199435516042896 is an frugal number, since it uses more digits than its factorization.

199435516042896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 199435516042896 in words is "one hundred ninety-nine trillion, four hundred thirty-five billion, five hundred sixteen million, forty-two thousand, eight hundred ninety-six".