54352396224 has 336 divisors, whose sum is σ = 191878671360. Its totient is φ = 15027586560.

The previous prime is 54352396223. The next prime is 54352396253. The reversal of 54352396224 is 42269325345.

54352396224 is a `hidden beast` number, since 5 + 4 + 35 + 2 + 396 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 54352396224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54352396223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2614479 + ... + 2635185.

Almost surely, 2^54352396224 is an apocalyptic number.

54352396224 is a gapful number since it is divisible by the number (54) 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 54352396224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95939335680).

54352396224 is an abundant number, since it is smaller than the sum of its proper divisors (137526275136).

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

54352396224 is a wasteful number, since it uses less digits than its factorization.

54352396224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20773 (or 20750 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 54352396224 in words is "fifty-four billion, three hundred fifty-two million, three hundred ninety-six thousand, two hundred twenty-four".