1611860209344 has 1792 divisors, whose sum is σ = 6543932129280. Its totient is φ = 376233984000.

The previous prime is 1611860209303. The next prime is 1611860209369. The reversal of 1611860209344 is 4439020681161.

1611860209344 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 8 + 602 + 0 + 9 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1611860209344.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8905304934 + ... + 8905305114.

It is an arithmetic number, because the mean of its divisors is an integer number (3651747840).

Almost surely, 2^{1611860209344} is an apocalyptic number.

1611860209344 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 1611860209344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271966064640).

1611860209344 is an abundant number, since it is smaller than the sum of its proper divisors (4932071919936).

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

1611860209344 is a wasteful number, since it uses less digits than its factorization.

1611860209344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1611860209344 in words is "one trillion, six hundred eleven billion, eight hundred sixty million, two hundred nine thousand, three hundred forty-four".