54384714163200 has 528 divisors, whose sum is σ = 183478704754176. Its totient is φ = 14203335475200.

The previous prime is 54384714163187. The next prime is 54384714163229. The reversal of 54384714163200 is 236141748345.

It is a super-2 number, since 2×54384714163200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54384714163200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1091533489 + ... + 1091583311.

Almost surely, 2^{54384714163200} is an apocalyptic number.

54384714163200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54384714163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91739352377088).

54384714163200 is an abundant number, since it is smaller than the sum of its proper divisors (129093990590976).

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

54384714163200 is a wasteful number, since it uses less digits than its factorization.

54384714163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50150 (or 50127 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 54384714163200 in words is "fifty-four trillion, three hundred eighty-four billion, seven hundred fourteen million, one hundred sixty-three thousand, two hundred".