54345214144 has 224 divisors, whose sum is σ = 123747434496. Its totient is φ = 23503011840.

The previous prime is 54345214139. The next prime is 54345214171. The reversal of 54345214144 is 44141254345.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153952272 + ... + 153952624.

It is an arithmetic number, because the mean of its divisors is an integer number (552443904).

Almost surely, 2^54345214144 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 54345214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61873717248).

54345214144 is an abundant number, since it is smaller than the sum of its proper divisors (69402220352).

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

54345214144 is a wasteful number, since it uses less digits than its factorization.

54345214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 573 counting only the distinct ones).

The product of its digits is 153600, while the sum is 37.

Adding to 54345214144 its reverse (44141254345), we get a palindrome (98486468489).

The spelling of 54345214144 in words is "fifty-four billion, three hundred forty-five million, two hundred fourteen thousand, one hundred forty-four".