1930109668344 has 320 divisors, whose sum is σ = 6455352768480. Its totient is φ = 531038592000.

The previous prime is 1930109668321. The next prime is 1930109668381. The reversal of 1930109668344 is 4438669010391.

1930109668344 is a `hidden beast` number, since 193 + 0 + 109 + 6 + 6 + 8 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5481774 + ... + 5823234.

Almost surely, 2^{1930109668344} 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 1930109668344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227676384240).

1930109668344 is an abundant number, since it is smaller than the sum of its proper divisors (4525243100136).

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

1930109668344 is a wasteful number, since it uses less digits than its factorization.

1930109668344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341564 (or 341551 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1930109668344 in words is "one trillion, nine hundred thirty billion, one hundred nine million, six hundred sixty-eight thousand, three hundred forty-four".