11130624468 has 72 divisors (see below), whose sum is σ = 28641500160. Its totient is φ = 3643643520.

The previous prime is 11130624467. The next prime is 11130624481. The reversal of 11130624468 is 86442603111.

11130624468 is a `hidden beast` number, since 1 + 1 + 130 + 62 + 4 + 468 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130624467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2803821 + ... + 2807787.

Almost surely, 2^11130624468 is an apocalyptic number.

11130624468 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 11130624468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14320750080).

11130624468 is an abundant number, since it is smaller than the sum of its proper divisors (17510875692).

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

11130624468 is a wasteful number, since it uses less digits than its factorization.

11130624468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5357 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11130624468 in words is "eleven billion, one hundred thirty million, six hundred twenty-four thousand, four hundred sixty-eight".