19214056072008 has 192 divisors, whose sum is σ = 60180634800000. Its totient is φ = 5424407847936.

The previous prime is 19214056071983. The next prime is 19214056072171. The reversal of 19214056072008 is 80027065041291.

19214056072008 is a `hidden beast` number, since 1 + 9 + 2 + 14 + 0 + 5 + 607 + 20 + 0 + 8 = 666.

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, 67096266 + ... + 67382022.

It is an arithmetic number, because the mean of its divisors is an integer number (313440806250).

Almost surely, 2^{19214056072008} is an apocalyptic number.

19214056072008 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 19214056072008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30090317400000).

19214056072008 is an abundant number, since it is smaller than the sum of its proper divisors (40966578727992).

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

19214056072008 is a wasteful number, since it uses less digits than its factorization.

19214056072008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287364 (or 287357 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 19214056072008 in words is "nineteen trillion, two hundred fourteen billion, fifty-six million, seventy-two thousand, eight".