545646772224 has 408 divisors, whose sum is σ = 1671752933760. Its totient is φ = 178012422144.

The previous prime is 545646772207. The next prime is 545646772247. The reversal of 545646772224 is 422277646545.

It is a happy number.

545646772224 is a `hidden beast` number, since 5 + 4 + 564 + 6 + 7 + 72 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (22579200) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11609505769 + ... + 11609505815.

Almost surely, 2^545646772224 is an apocalyptic number.

545646772224 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 545646772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835876466880).

545646772224 is an abundant number, since it is smaller than the sum of its proper divisors (1126106161536).

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

545646772224 is an frugal number, since it uses more digits than its factorization.

545646772224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 52 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 54.

The spelling of 545646772224 in words is "five hundred forty-five billion, six hundred forty-six million, seven hundred seventy-two thousand, two hundred twenty-four".