54337284864 has 288 divisors, whose sum is σ = 164499975360. Its totient is φ = 17687642112.

The previous prime is 54337284839. The next prime is 54337284877. The reversal of 54337284864 is 46848273345.

54337284864 is a `hidden beast` number, since 5 + 433 + 72 + 84 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 54337284864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57016612 + ... + 57017564.

It is an arithmetic number, because the mean of its divisors is an integer number (571180470).

Almost surely, 2^54337284864 is an apocalyptic number.

54337284864 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 54337284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82249987680).

54337284864 is an abundant number, since it is smaller than the sum of its proper divisors (110162690496).

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

54337284864 is a wasteful number, since it uses less digits than its factorization.

54337284864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1144 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 54337284864 in words is "fifty-four billion, three hundred thirty-seven million, two hundred eighty-four thousand, eight hundred sixty-four".