11080745482464 has 1008 divisors, whose sum is σ = 41775798986208. Its totient is φ = 2822614843392.

The previous prime is 11080745482453. The next prime is 11080745482531. The reversal of 11080745482464 is 46428454708011.

11080745482464 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 0 + 74 + 548 + 24 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×11080745482464² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11080745482464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1002142024 + ... + 1002153080.

It is an arithmetic number, because the mean of its divisors is an integer number (41444245026).

Almost surely, 2^{11080745482464} is an apocalyptic number.

11080745482464 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 11080745482464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20887899493104).

11080745482464 is an abundant number, since it is smaller than the sum of its proper divisors (30695053503744).

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

11080745482464 is a wasteful number, since it uses less digits than its factorization.

11080745482464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11147 (or 11105 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 11080745482464 in words is "eleven trillion, eighty billion, seven hundred forty-five million, four hundred eighty-two thousand, four hundred sixty-four".