11482962808512 has 448 divisors, whose sum is σ = 35125583109120. Its totient is φ = 3282524061696.

The previous prime is 11482962808511. The next prime is 11482962808531. The reversal of 11482962808512 is 21580826928411.

It is a happy number.

11482962808512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11482962808511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1302066439 + ... + 1302075257.

It is an arithmetic number, because the mean of its divisors is an integer number (78405319440).

Almost surely, 2^{11482962808512} is an apocalyptic number.

11482962808512 is a gapful number since it is divisible by the number (12) 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 11482962808512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17562791554560).

11482962808512 is an abundant number, since it is smaller than the sum of its proper divisors (23642620300608).

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

11482962808512 is a wasteful number, since it uses less digits than its factorization.

11482962808512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9520 (or 9510 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 57.

The spelling of 11482962808512 in words is "eleven trillion, four hundred eighty-two billion, nine hundred sixty-two million, eight hundred eight thousand, five hundred twelve".