199016383104 has 640 divisors, whose sum is σ = 746977334400. Its totient is φ = 51093504000.

The previous prime is 199016383081. The next prime is 199016383133. The reversal of 199016383104 is 401383610991.

199016383104 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 1 + 638 + 3 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 199016383104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71050504 + ... + 71053304.

It is an arithmetic number, because the mean of its divisors is an integer number (1167152085).

Almost surely, 2^199016383104 is an apocalyptic number.

199016383104 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 199016383104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373488667200).

199016383104 is an abundant number, since it is smaller than the sum of its proper divisors (547960951296).

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

199016383104 is a wasteful number, since it uses less digits than its factorization.

199016383104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 199016383104 in words is "one hundred ninety-nine billion, sixteen million, three hundred eighty-three thousand, one hundred four".