22482637632 has 672 divisors, whose sum is σ = 87710418432. Its totient is φ = 5333188608.

The previous prime is 22482637603. The next prime is 22482637633. The reversal of 22482637632 is 23673628422.

22482637632 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 2 + 6 + 3 + 7 + 632 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22482637633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20494108 + ... + 20495204.

It is an arithmetic number, because the mean of its divisors is an integer number (130521456).

Almost surely, 2^22482637632 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 22482637632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43855209216).

22482637632 is an abundant number, since it is smaller than the sum of its proper divisors (65227780800).

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

22482637632 is a wasteful number, since it uses less digits than its factorization.

22482637632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1162 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 22482637632 in words is "twenty-two billion, four hundred eighty-two million, six hundred thirty-seven thousand, six hundred thirty-two".