199218851832 has 512 divisors, whose sum is σ = 709915852800. Its totient is φ = 45238279680.

The previous prime is 199218851801. The next prime is 199218851863. The reversal of 199218851832 is 238158812991.

It is an interprime number because it is at equal distance from previous prime (199218851801) and next prime (199218851863).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55229373 + ... + 55232979.

It is an arithmetic number, because the mean of its divisors is an integer number (1386554400).

Almost surely, 2^199218851832 is an apocalyptic number.

199218851832 is a gapful number since it is divisible by the number (12) 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 199218851832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354957926400).

199218851832 is an abundant number, since it is smaller than the sum of its proper divisors (510697000968).

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

199218851832 is a wasteful number, since it uses less digits than its factorization.

199218851832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3662 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 57.

The spelling of 199218851832 in words is "one hundred ninety-nine billion, two hundred eighteen million, eight hundred fifty-one thousand, eight hundred thirty-two".