199914029460 has 144 divisors (see below), whose sum is σ = 637779018240. Its totient is φ = 50617232640.

The previous prime is 199914029443. The next prime is 199914029461. The reversal of 199914029460 is 64920419991.

199914029460 is a `hidden beast` number, since 1 + 9 + 9 + 91 + 402 + 94 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 199914029397 and 199914029406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199914029461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42250 + ... + 633729.

It is an arithmetic number, because the mean of its divisors is an integer number (4429020960).

Almost surely, 2^199914029460 is an apocalyptic number.

199914029460 is a gapful number since it is divisible by the number (10) 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 199914029460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318889509120).

199914029460 is an abundant number, since it is smaller than the sum of its proper divisors (437864988780).

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

199914029460 is a wasteful number, since it uses less digits than its factorization.

199914029460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676078 (or 676073 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 199914029460 in words is "one hundred ninety-nine billion, nine hundred fourteen million, twenty-nine thousand, four hundred sixty".