19249839942816 has 288 divisors, whose sum is σ = 62438657404032. Its totient is φ = 5159776419840.

The previous prime is 19249839942803. The next prime is 19249839942847. The reversal of 19249839942816 is 61824993894291.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24483040 + ... + 25257056.

It is an arithmetic number, because the mean of its divisors is an integer number (216800893764).

Almost surely, 2^{19249839942816} is an apocalyptic number.

19249839942816 is a gapful number since it is divisible by the number (16) 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 19249839942816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31219328702016).

19249839942816 is an abundant number, since it is smaller than the sum of its proper divisors (43188817461216).

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

19249839942816 is a wasteful number, since it uses less digits than its factorization.

19249839942816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774372 (or 774357 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 75.

The spelling of 19249839942816 in words is "nineteen trillion, two hundred forty-nine billion, eight hundred thirty-nine million, nine hundred forty-two thousand, eight hundred sixteen".