54106240404116 has 24 divisors (see below), whose sum is σ = 95445801458280. Its totient is φ = 26836874673152.

The previous prime is 54106240404101. The next prime is 54106240404119. The reversal of 54106240404116 is 61140404260145.

54106240404116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1110810602500 + 52995429801616 = 1053950^2 + 7279796^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54106240404116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54106240404119) 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 7 ways as a sum of consecutive naturals, for example, 107656181 + ... + 108157596.

It is an arithmetic number, because the mean of its divisors is an integer number (3976908394095).

Almost surely, 2^{54106240404116} is an apocalyptic number.

It is an amenable number.

54106240404116 is a deficient number, since it is larger than the sum of its proper divisors (41339561054164).

54106240404116 is a wasteful number, since it uses less digits than its factorization.

54106240404116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215814283 (or 215814281 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 54106240404116 in words is "fifty-four trillion, one hundred six billion, two hundred forty million, four hundred four thousand, one hundred sixteen".