19408920345 has 12 divisors (see below), whose sum is σ = 33642128676. Its totient is φ = 10351424160.

The previous prime is 19408920329. The next prime is 19408920359. The reversal of 19408920345 is 54302980491.

It can be written as a sum of positive squares in 2 ways, for example, as 10581002496 + 8827917849 = 102864^2 + 93957^2 .

It is not a de Polignac number, because 19408920345 - 2⁴ = 19408920329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 431309341 = 19408920345 / (1 + 9 + 4 + 0 + 8 + 9 + 2 + 0 + 3 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 19408920345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215654626 + ... + 215654715.

It is an arithmetic number, because the mean of its divisors is an integer number (2803510723).

Almost surely, 2^19408920345 is an apocalyptic number.

19408920345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19408920345 is a deficient number, since it is larger than the sum of its proper divisors (14233208331).

19408920345 is a wasteful number, since it uses less digits than its factorization.

19408920345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431309352 (or 431309349 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 19408920345 in words is "nineteen billion, four hundred eight million, nine hundred twenty thousand, three hundred forty-five".