11314548882820 has 96 divisors (see below), whose sum is σ = 25412090860800. Its totient is φ = 4219110604800.

The previous prime is 11314548882809. The next prime is 11314548882853. The reversal of 11314548882820 is 2828884541311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13654116 + ... + 14459044.

It is an arithmetic number, because the mean of its divisors is an integer number (264709279800).

Almost surely, 2^{11314548882820} is an apocalyptic number.

11314548882820 is a gapful number since it is divisible by the number (10) 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 11314548882820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12706045430400).

11314548882820 is an abundant number, since it is smaller than the sum of its proper divisors (14097541977980).

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

11314548882820 is a wasteful number, since it uses less digits than its factorization.

11314548882820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805549 (or 805547 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 55.

The spelling of 11314548882820 in words is "eleven trillion, three hundred fourteen billion, five hundred forty-eight million, eight hundred eighty-two thousand, eight hundred twenty".