22541211410500 has 24 divisors (see below), whose sum is σ = 49230005721624. Its totient is φ = 9016484564000.

The previous prime is 22541211410491. The next prime is 22541211410503. The reversal of 22541211410500 is 501411214522.

It can be written as a sum of positive squares in 4 ways, for example, as 175708518976 + 22365502891524 = 419176^2 + 4729218^2 .

It is not an unprimeable number, because it can be changed into a prime (22541211410503) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22541210911 + ... + 22541211910.

It is an arithmetic number, because the mean of its divisors is an integer number (2051250238401).

Almost surely, 2^{22541211410500} is an apocalyptic number.

22541211410500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22541211410500 is an abundant number, since it is smaller than the sum of its proper divisors (26688794311124).

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

22541211410500 is a wasteful number, since it uses less digits than its factorization.

22541211410500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45082422840 (or 45082422828 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 22541211410500 in words is "twenty-two trillion, five hundred forty-one billion, two hundred eleven million, four hundred ten thousand, five hundred".