54114368 has 112 divisors (see below), whose sum is σ = 136550400. Its totient is φ = 20666880.

The previous prime is 54114367. The next prime is 54114371. The reversal of 54114368 is 86341145.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (54114367) 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 15 ways as a sum of consecutive naturals, for example, 389243 + ... + 389381.

It is an arithmetic number, because the mean of its divisors is an integer number (1219200).

Almost surely, 2^54114368 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 54114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68275200).

54114368 is an abundant number, since it is smaller than the sum of its proper divisors (82436032).

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

54114368 is a wasteful number, since it uses less digits than its factorization.

54114368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 54114368 is about 7356.2468691582. The cubic root of 54114368 is about 378.2429687516.

It can be divided in two parts, 5411 and 4368, that added together give a palindrome (9779).

The spelling of 54114368 in words is "fifty-four million, one hundred fourteen thousand, three hundred sixty-eight".