19413822168 has 288 divisors, whose sum is σ = 59335960320. Its totient is φ = 5699635200.

The previous prime is 19413822167. The next prime is 19413822173. The reversal of 19413822168 is 86122831491.

19413822168 is a `hidden beast` number, since 1 + 9 + 413 + 8 + 221 + 6 + 8 = 666.

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 (19413822167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101642953 + ... + 101643143.

It is an arithmetic number, because the mean of its divisors is an integer number (206027640).

Almost surely, 2^19413822168 is an apocalyptic number.

19413822168 is a gapful number since it is divisible by the number (18) 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 19413822168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29667980160).

19413822168 is an abundant number, since it is smaller than the sum of its proper divisors (39922138152).

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

19413822168 is a wasteful number, since it uses less digits than its factorization.

19413822168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 353 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 19413822168 in words is "nineteen billion, four hundred thirteen million, eight hundred twenty-two thousand, one hundred sixty-eight".