18221062413600 has 432 divisors, whose sum is σ = 68139656282880. Its totient is φ = 4565862604800.

The previous prime is 18221062413571. The next prime is 18221062413601. The reversal of 18221062413600 is 631426012281.

It is a happy number.

18221062413600 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 1 + 0 + 6 + 2 + 41 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18221062413601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77116441 + ... + 77352359.

It is an arithmetic number, because the mean of its divisors is an integer number (157730685840).

Almost surely, 2^{18221062413600} is an apocalyptic number.

18221062413600 is a gapful number since it is divisible by the number (10) 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 18221062413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34069828141440).

18221062413600 is an abundant number, since it is smaller than the sum of its proper divisors (49918593869280).

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

18221062413600 is a wasteful number, since it uses less digits than its factorization.

18221062413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236593 (or 236577 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 18221062413600 its reverse (631426012281), we get a palindrome (18852488425881).

The spelling of 18221062413600 in words is "eighteen trillion, two hundred twenty-one billion, sixty-two million, four hundred thirteen thousand, six hundred".