22673309218560 has 5760 divisors, whose sum is σ = 117607001960448. Its totient is φ = 4013162496000.

The previous prime is 22673309218537. The next prime is 22673309218613. The reversal of 22673309218560 is 6581290337622.

22673309218560 is a `hidden beast` number, since 2 + 2 + 6 + 73 + 3 + 0 + 9 + 2 + 1 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a junction number, because it is equal to n+sod(n) for n = 22673309218497 and 22673309218506.

It is a congruent number.

It is an unprimeable number.

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 639 ways as a sum of consecutive naturals, for example, 125266901670 + ... + 125266901850.

Almost surely, 2^{22673309218560} is an apocalyptic number.

22673309218560 is a gapful number since it is divisible by the number (20) 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 22673309218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58803500980224).

22673309218560 is an abundant number, since it is smaller than the sum of its proper divisors (94933692741888).

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

22673309218560 is a wasteful number, since it uses less digits than its factorization.

22673309218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 22673309218560 in words is "twenty-two trillion, six hundred seventy-three billion, three hundred nine million, two hundred eighteen thousand, five hundred sixty".