11515140406314 has 48 divisors (see below), whose sum is σ = 25268800677120. Its totient is φ = 3789265989600.

The previous prime is 11515140406271. The next prime is 11515140406333. The reversal of 11515140406314 is 41360404151511.

11515140406314 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 5 + 14 + 0 + 4 + 0 + 631 + 4 = 666.

It is a super-3 number, since 3×11515140406314³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9731539 + ... + 10850489.

It is an arithmetic number, because the mean of its divisors is an integer number (526433347440).

Almost surely, 2^{11515140406314} is an apocalyptic number.

11515140406314 is an abundant number, since it is smaller than the sum of its proper divisors (13753660270806).

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

11515140406314 is a wasteful number, since it uses less digits than its factorization.

11515140406314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126275 (or 1126272 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 11515140406314 its reverse (41360404151511), we get a palindrome (52875544557825).

The spelling of 11515140406314 in words is "eleven trillion, five hundred fifteen billion, one hundred forty million, four hundred six thousand, three hundred fourteen".