11186480448 has 504 divisors, whose sum is σ = 39214446336. Its totient is φ = 3019161600.

The previous prime is 11186480443. The next prime is 11186480453. The reversal of 11186480448 is 84408468111.

It is an interprime number because it is at equal distance from previous prime (11186480443) and next prime (11186480453).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11186480443) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33194136 + ... + 33194472.

Almost surely, 2^11186480448 is an apocalyptic number.

11186480448 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 11186480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19607223168).

11186480448 is an abundant number, since it is smaller than the sum of its proper divisors (28027965888).

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

11186480448 is a wasteful number, since it uses less digits than its factorization.

11186480448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 11186480448 in words is "eleven billion, one hundred eighty-six million, four hundred eighty thousand, four hundred forty-eight".