54174761344 has 128 divisors (see below), whose sum is σ = 119523600000. Its totient is φ = 24253317120.

The previous prime is 54174761317. The next prime is 54174761369. The reversal of 54174761344 is 44316747145.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (1128960) is a multiple of the sum of its prime factors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 54174761294 and 54174761303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58314672 + ... + 58315600.

It is an arithmetic number, because the mean of its divisors is an integer number (933778125).

Almost surely, 2^54174761344 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 54174761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59761800000).

54174761344 is an abundant number, since it is smaller than the sum of its proper divisors (65348838656).

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

54174761344 is a wasteful number, since it uses less digits than its factorization.

54174761344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1524 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 46.

It can be divided in two parts, 54174 and 761344, that added together give a palindrome (815518).

The spelling of 54174761344 in words is "fifty-four billion, one hundred seventy-four million, seven hundred sixty-one thousand, three hundred forty-four".