199051001856 has 450 divisors, whose sum is σ = 691993624938. Its totient is φ = 56853135360.

The previous prime is 199051001819. The next prime is 199051001867. The reversal of 199051001856 is 658100150991.

It can be written as a sum of positive squares in only one way, i.e., 196709990400 + 2341011456 = 443520^2 + 48384^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 65026566 + ... + 65029626.

Almost surely, 2^199051001856 is an apocalyptic number.

199051001856 is a gapful number since it is divisible by the number (16) 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 199051001856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345996812469).

199051001856 is an abundant number, since it is smaller than the sum of its proper divisors (492942623082).

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

199051001856 is an frugal number, since it uses more digits than its factorization.

199051001856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The spelling of 199051001856 in words is "one hundred ninety-nine billion, fifty-one million, one thousand, eight hundred fifty-six".