11514115140 has 192 divisors, whose sum is σ = 37392122880. Its totient is φ = 2617920000.

The previous prime is 11514115133. The next prime is 11514115199. The reversal of 11514115140 is 4151141511.

It is a self number, because there is not a number n which added to its sum of digits gives 11514115140.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1261995 + ... + 1271085.

It is an arithmetic number, because the mean of its divisors is an integer number (194750640).

Almost surely, 2^11514115140 is an apocalyptic number.

11514115140 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 11514115140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18696061440).

11514115140 is an abundant number, since it is smaller than the sum of its proper divisors (25878007740).

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

11514115140 is a wasteful number, since it uses less digits than its factorization.

11514115140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9234 (or 9232 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 24.

Adding to 11514115140 its reverse (4151141511), we get a palindrome (15665256651).

The spelling of 11514115140 in words is "eleven billion, five hundred fourteen million, one hundred fifteen thousand, one hundred forty".