22541623734240 has 2016 divisors, whose sum is σ = 92401654123296. Its totient is φ = 5173635317760.

The previous prime is 22541623734233. The next prime is 22541623734271. The reversal of 22541623734240 is 4243732614522.

It is a happy number.

22541623734240 is a `hidden beast` number, since 2 + 2 + 541 + 6 + 2 + 37 + 34 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 45909620395 + ... + 45909620885.

It is an arithmetic number, because the mean of its divisors is an integer number (45834153831).

Almost surely, 2^{22541623734240} is an apocalyptic number.

22541623734240 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 22541623734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46200827061648).

22541623734240 is an abundant number, since it is smaller than the sum of its proper divisors (69860030389056).

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

22541623734240 is a wasteful number, since it uses less digits than its factorization.

22541623734240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 22541623734240 in words is "twenty-two trillion, five hundred forty-one billion, six hundred twenty-three million, seven hundred thirty-four thousand, two hundred forty".