190012967424 has 480 divisors, whose sum is σ = 684211207680. Its totient is φ = 51427602432.

The previous prime is 190012967393. The next prime is 190012967467. The reversal of 190012967424 is 424769210091.

It is a super-2 number, since 2×190012967424² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 190012967424.

It is an unprimeable number.

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, 16541587 + ... + 16553069.

It is an arithmetic number, because the mean of its divisors is an integer number (1425440016).

Almost surely, 2^190012967424 is an apocalyptic number.

190012967424 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 190012967424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342105603840).

190012967424 is an abundant number, since it is smaller than the sum of its proper divisors (494198240256).

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

190012967424 is an equidigital number, since it uses as much as digits as its factorization.

190012967424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11542 (or 11514 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 190012967424 in words is "one hundred ninety billion, twelve million, nine hundred sixty-seven thousand, four hundred twenty-four".