11516642472906 has 48 divisors (see below), whose sum is σ = 25835209227360. Its totient is φ = 3703340178720.

The previous prime is 11516642472901. The next prime is 11516642472911. The reversal of 11516642472906 is 60927424661511.

11516642472906 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 66 + 424 + 72 + 90 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11516642472901) and next prime (11516642472911).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11516642472901) by changing a digit.

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, 8809120 + ... + 10031643.

It is an arithmetic number, because the mean of its divisors is an integer number (538233525570).

Almost surely, 2^{11516642472906} is an apocalyptic number.

11516642472906 is an abundant number, since it is smaller than the sum of its proper divisors (14318566754454).

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

11516642472906 is a wasteful number, since it uses less digits than its factorization.

11516642472906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18841971 (or 18841968 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 11516642472906 in words is "eleven trillion, five hundred sixteen billion, six hundred forty-two million, four hundred seventy-two thousand, nine hundred six".