11115130000460 has 96 divisors (see below), whose sum is σ = 24149866610688. Its totient is φ = 4292797098240.

The previous prime is 11115130000433. The next prime is 11115130000493. The reversal of 11115130000460 is 6400003151111.

It is a happy number.

It is a super-2 number, since 2×11115130000460² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510161687 + ... + 510183473.

It is an arithmetic number, because the mean of its divisors is an integer number (251561110528).

Almost surely, 2^{11115130000460} is an apocalyptic number.

11115130000460 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 11115130000460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12074933305344).

11115130000460 is an abundant number, since it is smaller than the sum of its proper divisors (13034736610228).

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

11115130000460 is a wasteful number, since it uses less digits than its factorization.

11115130000460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23671 (or 23669 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

Adding to 11115130000460 its reverse (6400003151111), we get a palindrome (17515133151571).

The spelling of 11115130000460 in words is "eleven trillion, one hundred fifteen billion, one hundred thirty million, four hundred sixty", and thus it is an aban number.