1909796049504 has 288 divisors, whose sum is σ = 6495971489280. Its totient is φ = 520378822656.

The previous prime is 1909796049493. The next prime is 1909796049517. The reversal of 1909796049504 is 4059406979091.

1909796049504 is a `hidden beast` number, since 19 + 0 + 9 + 7 + 9 + 604 + 9 + 5 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15564907 + ... + 15687125.

It is an arithmetic number, because the mean of its divisors is an integer number (22555456560).

Almost surely, 2^{1909796049504} is an apocalyptic number.

1909796049504 is a gapful number since it is divisible by the number (14) 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 1909796049504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247985744640).

1909796049504 is an abundant number, since it is smaller than the sum of its proper divisors (4586175439776).

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

1909796049504 is a wasteful number, since it uses less digits than its factorization.

1909796049504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122602 (or 122591 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 1909796049504 in words is "one trillion, nine hundred nine billion, seven hundred ninety-six million, forty-nine thousand, five hundred four".