54349121376 has 144 divisors (see below), whose sum is σ = 170916192720. Its totient is φ = 16243752960.

The previous prime is 54349121341. The next prime is 54349121377. The reversal of 54349121376 is 67312194345.

54349121376 is a `hidden beast` number, since 543 + 4 + 91 + 2 + 13 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54349121377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113760 + ... + 348768.

It is an arithmetic number, because the mean of its divisors is an integer number (1186918005).

Almost surely, 2^54349121376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54349121376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85458096360).

54349121376 is an abundant number, since it is smaller than the sum of its proper divisors (116567071344).

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

54349121376 is a wasteful number, since it uses less digits than its factorization.

54349121376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235109 (or 235098 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 54349121376 in words is "fifty-four billion, three hundred forty-nine million, one hundred twenty-one thousand, three hundred seventy-six".