199425268224 has 240 divisors, whose sum is σ = 708376660992. Its totient is φ = 52595564544.

The previous prime is 199425268213. The next prime is 199425268241. The reversal of 199425268224 is 422862524991.

199425268224 is a `hidden beast` number, since 1 + 9 + 94 + 2 + 526 + 8 + 2 + 24 = 666.

It is a super-2 number, since 2×199425268224² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181537 + ... + 657119.

Almost surely, 2^199425268224 is an apocalyptic number.

199425268224 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 199425268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354188330496).

199425268224 is an abundant number, since it is smaller than the sum of its proper divisors (508951392768).

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

199425268224 is a wasteful number, since it uses less digits than its factorization.

199425268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475627 (or 475608 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 199425268224 in words is "one hundred ninety-nine billion, four hundred twenty-five million, two hundred sixty-eight thousand, two hundred twenty-four".