11232276480 has 624 divisors, whose sum is σ = 42146823264. Its totient is φ = 2866544640.

The previous prime is 11232276479. The next prime is 11232276553. The reversal of 11232276480 is 8467223211.

It is a happy number.

11232276480 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 2 + 2 + 7 + 648 + 0 = 666.

It is a super-2 number, since 2×11232276480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184135650 + ... + 184135710.

It is an arithmetic number, because the mean of its divisors is an integer number (67542986).

Almost surely, 2^11232276480 is an apocalyptic number.

11232276480 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 11232276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21073411632).

11232276480 is an abundant number, since it is smaller than the sum of its proper divisors (30914546784).

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

11232276480 is an frugal number, since it uses more digits than its factorization.

11232276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 11232276480 its reverse (8467223211), we get a palindrome (19699499691).

The spelling of 11232276480 in words is "eleven billion, two hundred thirty-two million, two hundred seventy-six thousand, four hundred eighty".