22771681152 has 384 divisors, whose sum is σ = 71263825920. Its totient is φ = 6415073280.

The previous prime is 22771681151. The next prime is 22771681159. The reversal of 22771681152 is 25118617722.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22771681151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100315663 + ... + 100315889.

It is an arithmetic number, because the mean of its divisors is an integer number (185582880).

Almost surely, 2^22771681152 is an apocalyptic number.

22771681152 is a gapful number since it is divisible by the number (22) 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 22771681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35631912960).

22771681152 is an abundant number, since it is smaller than the sum of its proper divisors (48492144768).

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

22771681152 is a wasteful number, since it uses less digits than its factorization.

22771681152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 387 counting only the distinct ones).

The product of its digits is 94080, while the sum is 42.

The spelling of 22771681152 in words is "twenty-two billion, seven hundred seventy-one million, six hundred eighty-one thousand, one hundred fifty-two".