18346410956160 has 4096 divisors, whose sum is σ = 86227255296000. Its totient is φ = 3586620653568.

The previous prime is 18346410956149. The next prime is 18346410956161. The reversal of 18346410956160 is 6165901464381.

18346410956160 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 6 + 4 + 10 + 9 + 5 + 616 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18346410956097 and 18346410956106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18346410956161) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 178120494669 + ... + 178120494771.

It is an arithmetic number, because the mean of its divisors is an integer number (21051576000).

Almost surely, 2^{18346410956160} is an apocalyptic number.

18346410956160 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 18346410956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43113627648000).

18346410956160 is an abundant number, since it is smaller than the sum of its proper divisors (67880844339840).

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

18346410956160 is a wasteful number, since it uses less digits than its factorization.

18346410956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 18346410956160 in words is "eighteen trillion, three hundred forty-six billion, four hundred ten million, nine hundred fifty-six thousand, one hundred sixty".