22257180624672 has 672 divisors, whose sum is σ = 75877761512448. Its totient is φ = 6292302870528.

The previous prime is 22257180624661. The next prime is 22257180624673. The reversal of 22257180624672 is 27642608175222.

22257180624672 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 7 + 1 + 8 + 0 + 624 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (22257180624673) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 6299794618 + ... + 6299798150.

It is an arithmetic number, because the mean of its divisors is an integer number (112913335584).

Almost surely, 2^{22257180624672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22257180624672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37938880756224).

22257180624672 is an abundant number, since it is smaller than the sum of its proper divisors (53620580887776).

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

22257180624672 is a wasteful number, since it uses less digits than its factorization.

22257180624672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

Adding to 22257180624672 its reverse (27642608175222), we get a palindrome (49899788799894).

The spelling of 22257180624672 in words is "twenty-two trillion, two hundred fifty-seven billion, one hundred eighty million, six hundred twenty-four thousand, six hundred seventy-two".