19514904816 has 160 divisors (see below), whose sum is σ = 56037484800. Its totient is φ = 5802762240.

The previous prime is 19514904793. The next prime is 19514904833. The reversal of 19514904816 is 61840941591.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6156480 + ... + 6159648.

It is an arithmetic number, because the mean of its divisors is an integer number (350234280).

Almost surely, 2^19514904816 is an apocalyptic number.

19514904816 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 19514904816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28018742400).

19514904816 is an abundant number, since it is smaller than the sum of its proper divisors (36522579984).

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

19514904816 is a wasteful number, since it uses less digits than its factorization.

19514904816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 19514904816 in words is "nineteen billion, five hundred fourteen million, nine hundred four thousand, eight hundred sixteen".