54736504589844 has 864 divisors, whose sum is σ = 182520455749632. Its totient is φ = 13950050688000.

The previous prime is 54736504589839. The next prime is 54736504589867. The reversal of 54736504589844 is 44898540563745.

54736504589844 is a `hidden beast` number, since 5 + 4 + 7 + 36 + 5 + 0 + 4 + 589 + 8 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34577702677 + ... + 34577704259.

It is an arithmetic number, because the mean of its divisors is an integer number (211250527488).

Almost surely, 2^{54736504589844} is an apocalyptic number.

54736504589844 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54736504589844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91260227874816).

54736504589844 is an abundant number, since it is smaller than the sum of its proper divisors (127783951159788).

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

54736504589844 is a wasteful number, since it uses less digits than its factorization.

54736504589844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 2322432000, while the sum is 72.

The spelling of 54736504589844 in words is "fifty-four trillion, seven hundred thirty-six billion, five hundred four million, five hundred eighty-nine thousand, eight hundred forty-four".