18364121634456 has 384 divisors, whose sum is σ = 55746932198400. Its totient is φ = 5598568834560.

The previous prime is 18364121634413. The next prime is 18364121634473. The reversal of 18364121634456 is 65443612146381.

18364121634456 is a `hidden beast` number, since 1 + 8 + 3 + 6 + 4 + 121 + 63 + 4 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2103319611 + ... + 2103328341.

It is an arithmetic number, because the mean of its divisors is an integer number (145174302600).

Almost surely, 2^{18364121634456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18364121634456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27873466099200).

18364121634456 is an abundant number, since it is smaller than the sum of its proper divisors (37382810563944).

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

18364121634456 is a wasteful number, since it uses less digits than its factorization.

18364121634456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9296 (or 9273 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 18364121634456 in words is "eighteen trillion, three hundred sixty-four billion, one hundred twenty-one million, six hundred thirty-four thousand, four hundred fifty-six".