22680463104 has 144 divisors (see below), whose sum is σ = 72229645600. Its totient is φ = 6978576384.

The previous prime is 22680463097. The next prime is 22680463121. The reversal of 22680463104 is 40136408622.

22680463104 is a `hidden beast` number, since 226 + 80 + 46 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×22680463104² (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 36349 + ... + 216060.

Almost surely, 2^22680463104 is an apocalyptic number.

22680463104 is a gapful number since it is divisible by the number (24) 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 22680463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36114822800).

22680463104 is an abundant number, since it is smaller than the sum of its proper divisors (49549182496).

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

22680463104 is a wasteful number, since it uses less digits than its factorization.

22680463104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252447 (or 252427 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 22680463104 in words is "twenty-two billion, six hundred eighty million, four hundred sixty-three thousand, one hundred four".