19349178016 has 144 divisors (see below), whose sum is σ = 45174205440. Its totient is φ = 8132866560.

The previous prime is 19349177959. The next prime is 19349178071. The reversal of 19349178016 is 61087194391.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22420401 + ... + 22421263.

It is an arithmetic number, because the mean of its divisors is an integer number (313709760).

Almost surely, 2^19349178016 is an apocalyptic number.

19349178016 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 19349178016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587102720).

19349178016 is an abundant number, since it is smaller than the sum of its proper divisors (25825027424).

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

19349178016 is a wasteful number, since it uses less digits than its factorization.

19349178016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The spelling of 19349178016 in words is "nineteen billion, three hundred forty-nine million, one hundred seventy-eight thousand, sixteen".