1211641576704 has 504 divisors, whose sum is σ = 3931211051432. Its totient is φ = 370321735680.

The previous prime is 1211641576703. The next prime is 1211641576729. The reversal of 1211641576704 is 4076751461121.

1211641576704 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 6 + 4 + 1 + 576 + 70 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32141318400 + 1179500258304 = 179280^2 + 1086048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1211641576704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211641576703) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 380897994 + ... + 380901174.

Almost surely, 2^{1211641576704} 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 1211641576704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965605525716).

1211641576704 is an abundant number, since it is smaller than the sum of its proper divisors (2719569474728).

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

1211641576704 is an equidigital number, since it uses as much as digits as its factorization.

1211641576704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1211641576704 in words is "one trillion, two hundred eleven billion, six hundred forty-one million, five hundred seventy-six thousand, seven hundred four".