11480047488 has 512 divisors, whose sum is σ = 42140851200. Its totient is φ = 2995937280.

The previous prime is 11480047459. The next prime is 11480047511. The reversal of 11480047488 is 88474008411.

It is a happy number.

It is a super-2 number, since 2×11480047488² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 54407703 + ... + 54407913.

It is an arithmetic number, because the mean of its divisors is an integer number (82306350).

Almost surely, 2^11480047488 is an apocalyptic number.

11480047488 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 11480047488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21070425600).

11480047488 is an abundant number, since it is smaller than the sum of its proper divisors (30660803712).

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

11480047488 is a wasteful number, since it uses less digits than its factorization.

11480047488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 11480047488 in words is "eleven billion, four hundred eighty million, forty-seven thousand, four hundred eighty-eight".