19293386112 has 960 divisors, whose sum is σ = 78134733600. Its totient is φ = 4625786880.

The previous prime is 19293386093. The next prime is 19293386117. The reversal of 19293386112 is 21168339291.

It is a happy number.

19293386112 is a `hidden beast` number, since 1 + 9 + 29 + 3 + 3 + 8 + 611 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (139968) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19293386117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1484106618 + ... + 1484106630.

Almost surely, 2^19293386112 is an apocalyptic number.

19293386112 is a gapful number since it is divisible by the number (12) 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 19293386112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39067366800).

19293386112 is an abundant number, since it is smaller than the sum of its proper divisors (58841347488).

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

19293386112 is an equidigital number, since it uses as much as digits as its factorization.

19293386112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 36 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 19293386112 in words is "nineteen billion, two hundred ninety-three million, three hundred eighty-six thousand, one hundred twelve".