199401543936 has 405 divisors, whose sum is σ = 693218318331. Its totient is φ = 56843265024.

The previous prime is 199401543871. The next prime is 199401543947. The reversal of 199401543936 is 639345104991.

It is a happy number.

The square root of 199401543936 is 446544.

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

199401543936 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 0 + 1 + 543 + 93 + 6 = 666.

It is a super-3 number, since 3×199401543936³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 450116131 + ... + 450116573.

Almost surely, 2^199401543936 is an apocalyptic number.

199401543936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

199401543936 is the 446544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199401543936

199401543936 is an abundant number, since it is smaller than the sum of its proper divisors (493816774395).

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

199401543936 is an frugal number, since it uses more digits than its factorization.

199401543936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 199401543936 in words is "one hundred ninety-nine billion, four hundred one million, five hundred forty-three thousand, nine hundred thirty-six".