11514632121 has 24 divisors (see below), whose sum is σ = 17094921480. Its totient is φ = 7465708800.

The previous prime is 11514632119. The next prime is 11514632137. The reversal of 11514632121 is 12123641511.

11514632121 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 4 + 632 + 1 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100701225 + 11413930896 = 10035^2 + 106836^2 .

It is not a de Polignac number, because 11514632121 - 2¹ = 11514632119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11514632191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68970 + ... + 166691.

It is an arithmetic number, because the mean of its divisors is an integer number (712288395).

Almost surely, 2^11514632121 is an apocalyptic number.

It is an amenable number.

11514632121 is a deficient number, since it is larger than the sum of its proper divisors (5580289359).

11514632121 is a wasteful number, since it uses less digits than its factorization.

11514632121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235817 (or 235814 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The spelling of 11514632121 in words is "eleven billion, five hundred fourteen million, six hundred thirty-two thousand, one hundred twenty-one".