199468935072 has 384 divisors, whose sum is σ = 650745446400. Its totient is φ = 58931712000.

The previous prime is 199468935011. The next prime is 199468935097. The reversal of 199468935072 is 270539864991.

199468935072 is a `hidden beast` number, since 1 + 9 + 9 + 46 + 89 + 3 + 507 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71212072 + ... + 71214872.

It is an arithmetic number, because the mean of its divisors is an integer number (1694649600).

It is a 1-persistent number, because it is pandigital, but 2⋅199468935072 = 398937870144 is not.

Almost surely, 2^199468935072 is an apocalyptic number.

199468935072 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 199468935072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325372723200).

199468935072 is an abundant number, since it is smaller than the sum of its proper divisors (451276511328).

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

199468935072 is a wasteful number, since it uses less digits than its factorization.

199468935072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 199468935072 in words is "one hundred ninety-nine billion, four hundred sixty-eight million, nine hundred thirty-five thousand, seventy-two".