54648333384645 has 512 divisors, whose sum is σ = 120990578688000. Its totient is φ = 20334192721920.

The previous prime is 54648333384611. The next prime is 54648333384707.

54648333384645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54648333384645 - 2¹² = 54648333380549 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 24084764571 + ... + 24084766839.

It is an arithmetic number, because the mean of its divisors is an integer number (236309724000).

Almost surely, 2^{54648333384645} is an apocalyptic number.

54648333384645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54648333384645 is an abundant number, since it is smaller than the sum of its proper divisors (66342245303355).

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

54648333384645 is a wasteful number, since it uses less digits than its factorization.

54648333384645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733.

The product of its digits is 1194393600, while the sum is 66.

The spelling of 54648333384645 in words is "fifty-four trillion, six hundred forty-eight billion, three hundred thirty-three million, three hundred eighty-four thousand, six hundred forty-five".