6414581223180 has 960 divisors, whose sum is σ = 22447649347200. Its totient is φ = 1523747635200.

The previous prime is 6414581223157. The next prime is 6414581223221. The reversal of 6414581223180 is 813221854146.

6414581223180 is a `hidden beast` number, since 6 + 4 + 1 + 458 + 12 + 2 + 3 + 180 = 666.

It is a super-2 number, since 2×6414581223180² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16925016231 + ... + 16925016609.

It is an arithmetic number, because the mean of its divisors is an integer number (23382968070).

Almost surely, 2^{6414581223180} is an apocalyptic number.

6414581223180 is a gapful number since it is divisible by the number (60) 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 6414581223180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11223824673600).

6414581223180 is an abundant number, since it is smaller than the sum of its proper divisors (16033068124020).

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

6414581223180 is a wasteful number, since it uses less digits than its factorization.

6414581223180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 6414581223180 in words is "six trillion, four hundred fourteen billion, five hundred eighty-one million, two hundred twenty-three thousand, one hundred eighty".