11445282816 has 384 divisors, whose sum is σ = 35852544000. Its totient is φ = 3211591680.

The previous prime is 11445282773. The next prime is 11445282847. The reversal of 11445282816 is 61828254411.

It is a tau number, because it is divible by the number of its divisors (384).

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, 57513885 + ... + 57514083.

It is an arithmetic number, because the mean of its divisors is an integer number (93366000).

Almost surely, 2^11445282816 is an apocalyptic number.

11445282816 is a gapful number since it is divisible by the number (16) 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 11445282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272000).

11445282816 is an abundant number, since it is smaller than the sum of its proper divisors (24407261184).

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

11445282816 is a wasteful number, since it uses less digits than its factorization.

11445282816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The spelling of 11445282816 in words is "eleven billion, four hundred forty-five million, two hundred eighty-two thousand, eight hundred sixteen".