19329331104 has 384 divisors, whose sum is σ = 61471872000. Its totient is φ = 5889106944.

The previous prime is 19329331003. The next prime is 19329331121. The reversal of 19329331104 is 40113392391.

19329331104 is a `hidden beast` number, since 19 + 329 + 3 + 311 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98118334 + ... + 98118530.

It is an arithmetic number, because the mean of its divisors is an integer number (160083000).

Almost surely, 2^19329331104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19329331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30735936000).

19329331104 is an abundant number, since it is smaller than the sum of its proper divisors (42142540896).

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

19329331104 is a wasteful number, since it uses less digits than its factorization.

19329331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 19329331104 in words is "nineteen billion, three hundred twenty-nine million, three hundred thirty-one thousand, one hundred four".