22260135744 has 672 divisors, whose sum is σ = 83800980480. Its totient is φ = 5670466560.

The previous prime is 22260135743. The next prime is 22260135803. The reversal of 22260135744 is 44753106222.

22260135744 is a `hidden beast` number, since 2 + 2 + 2 + 601 + 3 + 5 + 7 + 44 = 666.

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

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 = 22260135699 and 22260135708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22260135743) 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, 98062159 + ... + 98062385.

It is an arithmetic number, because the mean of its divisors is an integer number (124703840).

Almost surely, 2^22260135744 is an apocalyptic number.

22260135744 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 22260135744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41900490240).

22260135744 is an abundant number, since it is smaller than the sum of its proper divisors (61540844736).

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

22260135744 is a wasteful number, since it uses less digits than its factorization.

22260135744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 22260135744 in words is "twenty-two billion, two hundred sixty million, one hundred thirty-five thousand, seven hundred forty-four".