22436144640 has 1600 divisors, whose sum is σ = 104809541760. Its totient is φ = 4459069440.

The previous prime is 22436144597. The next prime is 22436144671. The reversal of 22436144640 is 4644163422.

22436144640 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 6 + 1 + 4 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22436144595 and 22436144604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 547223020 + ... + 547223060.

Almost surely, 2^22436144640 is an apocalyptic number.

22436144640 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 22436144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52404770880).

22436144640 is an abundant number, since it is smaller than the sum of its proper divisors (82373397120).

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

22436144640 is a wasteful number, since it uses less digits than its factorization.

22436144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 22436144640 in words is "twenty-two billion, four hundred thirty-six million, one hundred forty-four thousand, six hundred forty".