19847967414912 has 960 divisors, whose sum is σ = 74133184688640. Its totient is φ = 5224949452800.

The previous prime is 19847967414911. The next prime is 19847967414929. The reversal of 19847967414912 is 21941476974891.

It is a happy number.

19847967414912 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 7 + 96 + 7 + 41 + 491 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (19847967414911) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4008878037 + ... + 4008882987.

It is an arithmetic number, because the mean of its divisors is an integer number (77222067384).

Almost surely, 2^{19847967414912} is an apocalyptic number.

19847967414912 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 19847967414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37066592344320).

19847967414912 is an abundant number, since it is smaller than the sum of its proper divisors (54285217273728).

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

19847967414912 is a wasteful number, since it uses less digits than its factorization.

19847967414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5583 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 72.

The spelling of 19847967414912 in words is "nineteen trillion, eight hundred forty-seven billion, nine hundred sixty-seven million, four hundred fourteen thousand, nine hundred twelve".