54459123768 has 256 divisors, whose sum is σ = 187858944000. Its totient is φ = 14265072000.

The previous prime is 54459123727. The next prime is 54459123769. The reversal of 54459123768 is 86732195445.

It is a happy number.

54459123768 is a `hidden beast` number, since 5 + 4 + 459 + 123 + 7 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54459123769) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 859993 + ... + 921143.

It is an arithmetic number, because the mean of its divisors is an integer number (733824000).

Almost surely, 2^54459123768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54459123768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93929472000).

54459123768 is an abundant number, since it is smaller than the sum of its proper divisors (133399820232).

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

54459123768 is a wasteful number, since it uses less digits than its factorization.

54459123768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61223 (or 61213 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 54459123768 in words is "fifty-four billion, four hundred fifty-nine million, one hundred twenty-three thousand, seven hundred sixty-eight".