19345058768 has 120 divisors (see below), whose sum is σ = 45128391360. Its totient is φ = 7869176448.

The previous prime is 19345058767. The next prime is 19345058783. The reversal of 19345058768 is 86785054391.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19345058767) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 327882323 + ... + 327882381.

It is an arithmetic number, because the mean of its divisors is an integer number (376069928).

Almost surely, 2^19345058768 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 19345058768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22564195680).

19345058768 is an abundant number, since it is smaller than the sum of its proper divisors (25783332592).

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

19345058768 is an frugal number, since it uses more digits than its factorization.

19345058768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 19345058768 in words is "nineteen billion, three hundred forty-five million, fifty-eight thousand, seven hundred sixty-eight".