199901986816 has 135 divisors (see below), whose sum is σ = 465997758219. Its totient is φ = 85500592128.

The previous prime is 199901986787. The next prime is 199901986831. The reversal of 199901986816 is 618689109991.

The square root of 199901986816 is 447104.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 400604935 + ... + 400605433.

Almost surely, 2^199901986816 is an apocalyptic number.

199901986816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

199901986816 is the 447104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199901986816

199901986816 is an abundant number, since it is smaller than the sum of its proper divisors (266095771403).

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

199901986816 is an frugal number, since it uses more digits than its factorization.

199901986816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 67.

The spelling of 199901986816 in words is "one hundred ninety-nine billion, nine hundred one million, nine hundred eighty-six thousand, eight hundred sixteen".