22131104214450 has 288 divisors, whose sum is σ = 69756985356480. Its totient is φ = 4591617676800.

The previous prime is 22131104214437. The next prime is 22131104214469. The reversal of 22131104214450 is 5441240113122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52585456 + ... + 53004644.

It is an arithmetic number, because the mean of its divisors is an integer number (242211754710).

Almost surely, 2^{22131104214450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22131104214450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34878492678240).

22131104214450 is an abundant number, since it is smaller than the sum of its proper divisors (47625881142030).

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

22131104214450 is a wasteful number, since it uses less digits than its factorization.

22131104214450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419882 (or 419870 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 22131104214450 its reverse (5441240113122), we get a palindrome (27572344327572).

The spelling of 22131104214450 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred four million, two hundred fourteen thousand, four hundred fifty".