54004647321 has 81 divisors (see below), whose sum is σ = 86060460213. Its totient is φ = 33882316200.

The previous prime is 54004647259. The next prime is 54004647343. The reversal of 54004647321 is 12374640045.

The square root of 54004647321 is 232389.

It is a perfect power (a square), and thus also a powerful number.

54004647321 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 4 + 647 + 3 + 2 + 1 = 666.

54004647321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (81).

It is a de Polignac number, because none of the positive numbers 2^k-54004647321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54004647721) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 357646596 + ... + 357646746.

Almost surely, 2^54004647321 is an apocalyptic number.

54004647321 is the 232389-th square number.

54004647321 is the 116195-th centered octagonal number.

It is an amenable number.

54004647321 is a deficient number, since it is larger than the sum of its proper divisors (32055812892).

54004647321 is an frugal number, since it uses more digits than its factorization.

54004647321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 54004647321 by its sum of digits (36), we get a square (1944167303556 = 1394334²).

The spelling of 54004647321 in words is "fifty-four billion, four million, six hundred forty-seven thousand, three hundred twenty-one".