22541432094720 has 4096 divisors, whose sum is σ = 108956289024000. Its totient is φ = 4334215495680.

The previous prime is 22541432094697. The next prime is 22541432094749. The reversal of 22541432094720 is 2749023414522.

22541432094720 is a `hidden beast` number, since 2 + 2 + 5 + 414 + 3 + 209 + 4 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4096).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 524219351019 + ... + 524219351061.

It is an arithmetic number, because the mean of its divisors is an integer number (26600656500).

Almost surely, 2^{22541432094720} is an apocalyptic number.

22541432094720 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 22541432094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54478144512000).

22541432094720 is an abundant number, since it is smaller than the sum of its proper divisors (86414856929280).

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

22541432094720 is an frugal number, since it uses more digits than its factorization.

22541432094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 22541432094720 in words is "twenty-two trillion, five hundred forty-one billion, four hundred thirty-two million, ninety-four thousand, seven hundred twenty".