54144258048 has 312 divisors, whose sum is σ = 171838006080. Its totient is φ = 16349921280.

The previous prime is 54144258043. The next prime is 54144258053. The reversal of 54144258048 is 84085244145.

54144258048 is a `hidden beast` number, since 54 + 14 + 4 + 2 + 580 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (54144258043) and next prime (54144258053).

It is a junction number, because it is equal to n+sod(n) for n = 54144257994 and 54144258012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54144258043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16107888 + ... + 16111248.

It is an arithmetic number, because the mean of its divisors is an integer number (550762840).

Almost surely, 2^54144258048 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 54144258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85919003040).

54144258048 is an abundant number, since it is smaller than the sum of its proper divisors (117693748032).

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

54144258048 is a wasteful number, since it uses less digits than its factorization.

54144258048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 54144258048 in words is "fifty-four billion, one hundred forty-four million, two hundred fifty-eight thousand, forty-eight".