11130451456 has 80 divisors (see below), whose sum is σ = 23255654400. Its totient is φ = 5311899648.

The previous prime is 11130451399. The next prime is 11130451457. The reversal of 11130451456 is 65415403111.

It is a super-2 number, since 2×11130451456² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130451457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8701825 + ... + 8703103.

It is an arithmetic number, because the mean of its divisors is an integer number (290695680).

Almost surely, 2^11130451456 is an apocalyptic number.

11130451456 is a gapful number since it is divisible by the number (16) 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 11130451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11627827200).

11130451456 is an abundant number, since it is smaller than the sum of its proper divisors (12125202944).

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

11130451456 is an equidigital number, since it uses as much as digits as its factorization.

11130451456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 11130451456 its reverse (65415403111), we get a palindrome (76545854567).

The spelling of 11130451456 in words is "eleven billion, one hundred thirty million, four hundred fifty-one thousand, four hundred fifty-six".