199104250834944 has 2496 divisors, whose sum is σ = 781302401152000. Its totient is φ = 48374660726784.

The previous prime is 199104250834921. The next prime is 199104250834987. The reversal of 199104250834944 is 449438052401991.

199104250834944 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 0 + 4 + 2 + 508 + 34 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×199104250834944² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115556732067 + ... + 115556733789.

Almost surely, 2^{199104250834944} is an apocalyptic number.

199104250834944 is a gapful number since it is divisible by the number (14) 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 199104250834944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390651200576000).

199104250834944 is an abundant number, since it is smaller than the sum of its proper divisors (582198150317056).

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

199104250834944 is a wasteful number, since it uses less digits than its factorization.

199104250834944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 199104250834944 in words is "one hundred ninety-nine trillion, one hundred four billion, two hundred fifty million, eight hundred thirty-four thousand, nine hundred forty-four".