11013982712352 has 144 divisors (see below), whose sum is σ = 31726455022080. Its totient is φ = 3623829580800.

The previous prime is 11013982712351. The next prime is 11013982712353. The reversal of 11013982712352 is 25321728931011.

11013982712352 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 398 + 27 + 1 + 235 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11013982712351) and next prime (11013982712353).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 11013982712298 and 11013982712307.

It is not an unprimeable number, because it can be changed into a prime (11013982712351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82545852 + ... + 82679172.

It is an arithmetic number, because the mean of its divisors is an integer number (220322604320).

Almost surely, 2^{11013982712352} is an apocalyptic number.

11013982712352 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 11013982712352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863227511040).

11013982712352 is an abundant number, since it is smaller than the sum of its proper divisors (20712472309728).

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

11013982712352 is a wasteful number, since it uses less digits than its factorization.

11013982712352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137047 (or 137036 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11013982712352 in words is "eleven trillion, thirteen billion, nine hundred eighty-two million, seven hundred twelve thousand, three hundred fifty-two".