1919964098016 has 192 divisors, whose sum is σ = 5787891063360. Its totient is φ = 618723256320.

The previous prime is 1919964098009. The next prime is 1919964098051. The reversal of 1919964098016 is 6108904699191.

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, 4827706 + ... + 5210246.

It is an arithmetic number, because the mean of its divisors is an integer number (30145265955).

Almost surely, 2^{1919964098016} is an apocalyptic number.

1919964098016 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 1919964098016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893945531680).

1919964098016 is an abundant number, since it is smaller than the sum of its proper divisors (3867926965344).

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

1919964098016 is a wasteful number, since it uses less digits than its factorization.

1919964098016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382754 (or 382740 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The spelling of 1919964098016 in words is "one trillion, nine hundred nineteen billion, nine hundred sixty-four million, ninety-eight thousand, sixteen".