54344225214400 has 168 divisors, whose sum is σ = 145884036105360. Its totient is φ = 19760609280000.

The previous prime is 54344225214397. The next prime is 54344225214551. The reversal of 54344225214400 is 441252244345.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456994950 + ... + 457113850.

It is an arithmetic number, because the mean of its divisors is an integer number (868357357770).

Almost surely, 2^{54344225214400} is an apocalyptic number.

54344225214400 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 54344225214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72942018052680).

54344225214400 is an abundant number, since it is smaller than the sum of its proper divisors (91539810890960).

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

54344225214400 is a wasteful number, since it uses less digits than its factorization.

54344225214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144903 (or 144888 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 54344225214400 its reverse (441252244345), we get a palindrome (54785477458745).

The spelling of 54344225214400 in words is "fifty-four trillion, three hundred forty-four billion, two hundred twenty-five million, two hundred fourteen thousand, four hundred".