54314885664 has 504 divisors, whose sum is σ = 181457236800. Its totient is φ = 15958964736.

The previous prime is 54314885657. The next prime is 54314885693. The reversal of 54314885664 is 46658841345.

54314885664 is a `hidden beast` number, since 5 + 4 + 31 + 48 + 8 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11059200) is a multiple of the sum of its prime divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 54314885664.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 90675637 + ... + 90676235.

It is an arithmetic number, because the mean of its divisors is an integer number (360034200).

Almost surely, 2^54314885664 is an apocalyptic number.

54314885664 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 54314885664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90728618400).

54314885664 is an abundant number, since it is smaller than the sum of its proper divisors (127142351136).

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

54314885664 is a wasteful number, since it uses less digits than its factorization.

54314885664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 640 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 54314885664 in words is "fifty-four billion, three hundred fourteen million, eight hundred eighty-five thousand, six hundred sixty-four".