22686481920 has 320 divisors, whose sum is σ = 77082477120. Its totient is φ = 5681184768.

The previous prime is 22686481837. The next prime is 22686481921. The reversal of 22686481920 is 2918468622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22686481920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22686481921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8239264 + ... + 8242016.

It is an arithmetic number, because the mean of its divisors is an integer number (240882741).

Almost surely, 2^22686481920 is an apocalyptic number.

22686481920 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 22686481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38541238560).

22686481920 is an abundant number, since it is smaller than the sum of its proper divisors (54395995200).

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

22686481920 is a wasteful number, since it uses less digits than its factorization.

22686481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 22686481920 in words is "twenty-two billion, six hundred eighty-six million, four hundred eighty-one thousand, nine hundred twenty".