11476882341288 has 320 divisors, whose sum is σ = 40633491212160. Its totient is φ = 2945062209024.

The previous prime is 11476882341283. The next prime is 11476882341307. The reversal of 11476882341288 is 88214328867411.

11476882341288 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 6 + 8 + 8 + 2 + 341 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11476882341283) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 448306 + ... + 4811937.

It is an arithmetic number, because the mean of its divisors is an integer number (126979660038).

Almost surely, 2^{11476882341288} is an apocalyptic number.

11476882341288 is a gapful number since it is divisible by the number (18) 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 11476882341288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20316745606080).

11476882341288 is an abundant number, since it is smaller than the sum of its proper divisors (29156608870872).

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

11476882341288 is a wasteful number, since it uses less digits than its factorization.

11476882341288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260318 (or 5260305 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 63.

The spelling of 11476882341288 in words is "eleven trillion, four hundred seventy-six billion, eight hundred eighty-two million, three hundred forty-one thousand, two hundred eighty-eight".