1211682075648 has 352 divisors, whose sum is σ = 3692683717632. Its totient is φ = 349652582400.

The previous prime is 1211682075629. The next prime is 1211682075661. The reversal of 1211682075648 is 8465702861121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 1211682075648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181087983 + ... + 181094673.

Almost surely, 2^{1211682075648} 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 1211682075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846341858816).

1211682075648 is an abundant number, since it is smaller than the sum of its proper divisors (2481001641984).

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

1211682075648 is a wasteful number, since it uses less digits than its factorization.

1211682075648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981 (or 6963 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 1211682075648 in words is "one trillion, two hundred eleven billion, six hundred eighty-two million, seventy-five thousand, six hundred forty-eight".