199917285357804 has 192 divisors, whose sum is σ = 545074604605440. Its totient is φ = 55840401872640.

The previous prime is 199917285357793. The next prime is 199917285357817. The reversal of 199917285357804 is 408753582719991.

It is a super-2 number, since 2×199917285357804² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199917285357804.

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, 13864843707 + ... + 13864858125.

It is an arithmetic number, because the mean of its divisors is an integer number (2838930232320).

Almost surely, 2^{199917285357804} is an apocalyptic number.

199917285357804 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 199917285357804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272537302302720).

199917285357804 is an abundant number, since it is smaller than the sum of its proper divisors (345157319247636).

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

199917285357804 is a wasteful number, since it uses less digits than its factorization.

199917285357804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18228 (or 18226 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 78.

The spelling of 199917285357804 in words is "one hundred ninety-nine trillion, nine hundred seventeen billion, two hundred eighty-five million, three hundred fifty-seven thousand, eight hundred four".