11477334288 has 320 divisors, whose sum is σ = 36097689600. Its totient is φ = 3138283008.

The previous prime is 11477334283. The next prime is 11477334359. The reversal of 11477334288 is 88243377411.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (11477334283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50560831 + ... + 50561057.

It is an arithmetic number, because the mean of its divisors is an integer number (112805280).

Almost surely, 2^11477334288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11477334288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18048844800).

11477334288 is an abundant number, since it is smaller than the sum of its proper divisors (24620355312).

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

11477334288 is a wasteful number, since it uses less digits than its factorization.

11477334288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The spelling of 11477334288 in words is "eleven billion, four hundred seventy-seven million, three hundred thirty-four thousand, two hundred eighty-eight".