11414881188480 has 512 divisors, whose sum is σ = 45720298782720. Its totient is φ = 2353242931200.

The previous prime is 11414881188433. The next prime is 11414881188511. The reversal of 11414881188480 is 8488118841411.

It is a super-2 number, since 2×11414881188480² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11414881188480.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18471700 + ... + 19079660.

It is an arithmetic number, because the mean of its divisors is an integer number (89297458560).

Almost surely, 2^{11414881188480} is an apocalyptic number.

11414881188480 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 11414881188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22860149391360).

11414881188480 is an abundant number, since it is smaller than the sum of its proper divisors (34305417594240).

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

11414881188480 is a wasteful number, since it uses less digits than its factorization.

11414881188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608128 (or 608116 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 57.

The spelling of 11414881188480 in words is "eleven trillion, four hundred fourteen billion, eight hundred eighty-one million, one hundred eighty-eight thousand, four hundred eighty".