19834468416 has 168 divisors, whose sum is σ = 67798882944. Its totient is φ = 5420574720.

The previous prime is 19834468373. The next prime is 19834468421. The reversal of 19834468416 is 61486443891.

19834468416 is a `hidden beast` number, since 198 + 3 + 446 + 8 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×19834468416² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14205 + ... + 199676.

Almost surely, 2^19834468416 is an apocalyptic number.

19834468416 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 19834468416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33899441472).

19834468416 is an abundant number, since it is smaller than the sum of its proper divisors (47964414528).

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

19834468416 is a wasteful number, since it uses less digits than its factorization.

19834468416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213929 (or 213916 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 19834468416 in words is "nineteen billion, eight hundred thirty-four million, four hundred sixty-eight thousand, four hundred sixteen".