199668613248 has 768 divisors, whose sum is σ = 702093450240. Its totient is φ = 55897620480.

The previous prime is 199668613223. The next prime is 199668613253. The reversal of 199668613248 is 842316866991.

199668613248 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 6 + 8 + 613 + 2 + 4 + 8 = 666.

It is a super-2 number, since 2×199668613248² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213093036 + ... + 213093972.

It is an arithmetic number, because the mean of its divisors is an integer number (914184180).

Almost surely, 2^199668613248 is an apocalyptic number.

199668613248 is a gapful number since it is divisible by the number (18) 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 199668613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351046725120).

199668613248 is an abundant number, since it is smaller than the sum of its proper divisors (502424836992).

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

199668613248 is a wasteful number, since it uses less digits than its factorization.

199668613248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1003 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 199668613248 in words is "one hundred ninety-nine billion, six hundred sixty-eight million, six hundred thirteen thousand, two hundred forty-eight".