190834009344 has 360 divisors, whose sum is σ = 622704452832. Its totient is φ = 57647738880.

The previous prime is 190834009279. The next prime is 190834009361. The reversal of 190834009344 is 443900438091.

It is a happy number.

190834009344 is a `hidden beast` number, since 190 + 83 + 40 + 0 + 9 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 190834009344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85078687 + ... + 85080929.

Almost surely, 2^190834009344 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 190834009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311352226416).

190834009344 is an abundant number, since it is smaller than the sum of its proper divisors (431870443488).

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

190834009344 is a wasteful number, since it uses less digits than its factorization.

190834009344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 190834009344 in words is "one hundred ninety billion, eight hundred thirty-four million, nine thousand, three hundred forty-four".