54123354144 has 48 divisors (see below), whose sum is σ = 157859785440. Its totient is φ = 18041117760.

The previous prime is 54123354137. The next prime is 54123354149. The reversal of 54123354144 is 44145332145.

54123354144 is a `hidden beast` number, since 5 + 4 + 1 + 233 + 5 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54123354099 and 54123354108.

It is not an unprimeable number, because it can be changed into a prime (54123354149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31320522 + ... + 31322249.

It is an arithmetic number, because the mean of its divisors is an integer number (3288745530).

Almost surely, 2^54123354144 is an apocalyptic number.

54123354144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

54123354144 is an abundant number, since it is smaller than the sum of its proper divisors (103736431296).

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

54123354144 is a wasteful number, since it uses less digits than its factorization.

54123354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62642790 (or 62642776 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 54123354144 its reverse (44145332145), we get a palindrome (98268686289).

The spelling of 54123354144 in words is "fifty-four billion, one hundred twenty-three million, three hundred fifty-four thousand, one hundred forty-four".