54434422224 has 720 divisors, whose sum is σ = 204585239040. Its totient is φ = 13873628160.

The previous prime is 54434422187. The next prime is 54434422249. The reversal of 54434422224 is 42222443445.

It is a happy number.

54434422224 is a `hidden beast` number, since 5 + 4 + 4 + 3 + 4 + 422 + 224 = 666.

54434422224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76775982 + ... + 76776690.

Almost surely, 2^54434422224 is an apocalyptic number.

54434422224 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 54434422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102292619520).

54434422224 is an abundant number, since it is smaller than the sum of its proper divisors (150150816816).

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

54434422224 is a wasteful number, since it uses less digits than its factorization.

54434422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 765 counting only the distinct ones).

The product of its digits is 245760, while the sum is 36.

Adding to 54434422224 its reverse (42222443445), we get a palindrome (96656865669).

The spelling of 54434422224 in words is "fifty-four billion, four hundred thirty-four million, four hundred twenty-two thousand, two hundred twenty-four".