1919001101919 has 48 divisors (see below), whose sum is σ = 2853347696640. Its totient is φ = 1146227544000.

The previous prime is 1919001101887. The next prime is 1919001101923. The reversal of 1919001101919 is 9191011009191.

It is not a de Polignac number, because 1919001101919 - 2⁵ = 1919001101887 is a prime.

It is a super-2 number, since 2×1919001101919² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1919001102919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6823417 + ... + 7099085.

It is an arithmetic number, because the mean of its divisors is an integer number (59444743680).

Almost surely, 2^{1919001101919} is an apocalyptic number.

1919001101919 is a deficient number, since it is larger than the sum of its proper divisors (934346594721).

1919001101919 is a wasteful number, since it uses less digits than its factorization.

1919001101919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275972 (or 275961 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 42.

The spelling of 1919001101919 in words is "one trillion, nine hundred nineteen billion, one million, one hundred one thousand, nine hundred nineteen".