22333355004000 has 192 divisors, whose sum is σ = 73238539046400. Its totient is φ = 5949499635200.

The previous prime is 22333355003959. The next prime is 22333355004013. The reversal of 22333355004000 is 40055333322.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10849351 + ... + 12742649.

It is an arithmetic number, because the mean of its divisors is an integer number (381450724200).

Almost surely, 2^{22333355004000} is an apocalyptic number.

22333355004000 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 22333355004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36619269523200).

22333355004000 is an abundant number, since it is smaller than the sum of its proper divisors (50905184042400).

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

22333355004000 is a wasteful number, since it uses less digits than its factorization.

22333355004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894310 (or 1894292 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

The spelling of 22333355004000 in words is "twenty-two trillion, three hundred thirty-three billion, three hundred fifty-five million, four thousand".