19914314112 has 768 divisors, whose sum is σ = 76622008320. Its totient is φ = 4811304960.

The previous prime is 19914314107. The next prime is 19914314113. The reversal of 19914314112 is 21141341991.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19914314113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87728143 + ... + 87728369.

It is an arithmetic number, because the mean of its divisors is an integer number (99768240).

Almost surely, 2^19914314112 is an apocalyptic number.

19914314112 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 19914314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38311004160).

19914314112 is an abundant number, since it is smaller than the sum of its proper divisors (56707694208).

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

19914314112 is a wasteful number, since it uses less digits than its factorization.

19914314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The spelling of 19914314112 in words is "nineteen billion, nine hundred fourteen million, three hundred fourteen thousand, one hundred twelve".