199414237386000 has 1920 divisors, whose sum is σ = 864484930423296. Its totient is φ = 39055874457600.

The previous prime is 199414237385981. The next prime is 199414237386011. The reversal of 199414237386000 is 683732414991.

It is a happy number.

199414237386000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×199414237386000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4743080979 + ... + 4743123021.

Almost surely, 2^{199414237386000} is an apocalyptic number.

199414237386000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199414237386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432242465211648).

199414237386000 is an abundant number, since it is smaller than the sum of its proper divisors (665070693037296).

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

199414237386000 is a wasteful number, since it uses less digits than its factorization.

199414237386000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42186 (or 42163 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 199414237386000 in words is "one hundred ninety-nine trillion, four hundred fourteen billion, two hundred thirty-seven million, three hundred eighty-six thousand".