54130616736174 has 144 divisors (see below), whose sum is σ = 129125525321520. Its totient is φ = 16376367532800.

The previous prime is 54130616736173. The next prime is 54130616736211. The reversal of 54130616736174 is 47163761603145.

54130616736174 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 0 + 6 + 16 + 7 + 3 + 617 + 4 = 666.

54130616736174 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54130616736174.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54130616736173) 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 71 ways as a sum of consecutive naturals, for example, 6108856504 + ... + 6108865364.

It is an arithmetic number, because the mean of its divisors is an integer number (896705036955).

Almost surely, 2^{54130616736174} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54130616736174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64562762660760).

54130616736174 is an abundant number, since it is smaller than the sum of its proper divisors (74994908585346).

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

54130616736174 is a wasteful number, since it uses less digits than its factorization.

54130616736174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13167 (or 13153 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 54130616736174 in words is "fifty-four trillion, one hundred thirty billion, six hundred sixteen million, seven hundred thirty-six thousand, one hundred seventy-four".