199424106504 has 192 divisors, whose sum is σ = 624482352000. Its totient is φ = 56314137600.

The previous prime is 199424106503. The next prime is 199424106509. The reversal of 199424106504 is 405601424991.

199424106504 is a `hidden beast` number, since 1 + 99 + 42 + 4 + 10 + 6 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 199424106504.

It is not an unprimeable number, because it can be changed into a prime (199424106503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31506412 + ... + 31512740.

It is an arithmetic number, because the mean of its divisors is an integer number (3252512250).

Almost surely, 2^199424106504 is an apocalyptic number.

199424106504 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 199424106504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312241176000).

199424106504 is an abundant number, since it is smaller than the sum of its proper divisors (425058245496).

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

199424106504 is a wasteful number, since it uses less digits than its factorization.

199424106504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7068 (or 7061 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 199424106504 in words is "one hundred ninety-nine billion, four hundred twenty-four million, one hundred six thousand, five hundred four".