22349360116800 has 336 divisors, whose sum is σ = 82311624982720. Its totient is φ = 5898386718720.

The previous prime is 22349360116763. The next prime is 22349360116801. The reversal of 22349360116800 is 861106394322.

22349360116800 is a `hidden beast` number, since 2 + 2 + 34 + 9 + 3 + 601 + 1 + 6 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22349360116801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1523667 + ... + 6857133.

Almost surely, 2^{22349360116800} is an apocalyptic number.

22349360116800 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 22349360116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41155812491360).

22349360116800 is an abundant number, since it is smaller than the sum of its proper divisors (59962264865920).

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

22349360116800 is a wasteful number, since it uses less digits than its factorization.

22349360116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333595 (or 5333574 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 22349360116800 in words is "twenty-two trillion, three hundred forty-nine billion, three hundred sixty million, one hundred sixteen thousand, eight hundred".