22355555214400 has 336 divisors, whose sum is σ = 57714943467520. Its totient is φ = 8512132147200.

The previous prime is 22355555214379. The next prime is 22355555214409. The reversal of 22355555214400 is 441255555322.

It is not an unprimeable number, because it can be changed into a prime (22355555214409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2455840249 + ... + 2455849351.

Almost surely, 2^{22355555214400} is an apocalyptic number.

22355555214400 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 22355555214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28857471733760).

22355555214400 is an abundant number, since it is smaller than the sum of its proper divisors (35359388253120).

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

22355555214400 is a wasteful number, since it uses less digits than its factorization.

22355555214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9962 (or 9947 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 43.

The spelling of 22355555214400 in words is "twenty-two trillion, three hundred fifty-five billion, five hundred fifty-five million, two hundred fourteen thousand, four hundred".