19164814272 has 224 divisors, whose sum is σ = 59829192000. Its totient is φ = 5994971136.

The previous prime is 19164814259. The next prime is 19164814307. The reversal of 19164814272 is 27241846191.

19164814272 is a `hidden beast` number, since 1 + 91 + 64 + 81 + 427 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13189098 + ... + 13190550.

Almost surely, 2^19164814272 is an apocalyptic number.

19164814272 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 19164814272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29914596000).

19164814272 is an abundant number, since it is smaller than the sum of its proper divisors (40664377728).

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

19164814272 is a wasteful number, since it uses less digits than its factorization.

19164814272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1924 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 19164814272 in words is "nineteen billion, one hundred sixty-four million, eight hundred fourteen thousand, two hundred seventy-two".