11142511460 has 48 divisors (see below), whose sum is σ = 24543340416. Its totient is φ = 4241098752.

The previous prime is 11142511397. The next prime is 11142511481. The reversal of 11142511460 is 6411524111.

It is a super-3 number, since 3×11142511460³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26027 + ... + 151533.

It is an arithmetic number, because the mean of its divisors is an integer number (511319592).

Almost surely, 2^11142511460 is an apocalyptic number.

11142511460 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 11142511460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12271670208).

11142511460 is an abundant number, since it is smaller than the sum of its proper divisors (13400828956).

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

11142511460 is a wasteful number, since it uses less digits than its factorization.

11142511460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125732 (or 125730 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The spelling of 11142511460 in words is "eleven billion, one hundred forty-two million, five hundred eleven thousand, four hundred sixty".