199474686867456 has 3456 divisors, whose sum is σ = 803900082585600. Its totient is φ = 46352026828800.

The previous prime is 199474686867451. The next prime is 199474686867499. The reversal of 199474686867456 is 654768686474991.

199474686867456 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 74 + 6 + 8 + 6 + 86 + 7 + 456 = 666.

It is a super-2 number, since 2×199474686867456² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199474686867451) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1570666825665 + ... + 1570666825791.

It is an arithmetic number, because the mean of its divisors is an integer number (232609977600).

Almost surely, 2^{199474686867456} is an apocalyptic number.

199474686867456 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 199474686867456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401950041292800).

199474686867456 is an abundant number, since it is smaller than the sum of its proper divisors (604425395718144).

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

199474686867456 is a wasteful number, since it uses less digits than its factorization.

199474686867456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 343 counting only the distinct ones).

The product of its digits is 105345515520, while the sum is 90.

The spelling of 199474686867456 in words is "one hundred ninety-nine trillion, four hundred seventy-four billion, six hundred eighty-six million, eight hundred sixty-seven thousand, four hundred fifty-six".