18614744628480 has 5184 divisors, whose sum is σ = 93150438877440. Its totient is φ = 3521550090240.

The previous prime is 18614744628479. The next prime is 18614744628509. The reversal of 18614744628480 is 8482644741681.

It is a happy number.

18614744628480 is a `hidden beast` number, since 1 + 8 + 6 + 1 + 474 + 4 + 6 + 2 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×18614744628480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 254996501724 + ... + 254996501796.

It is an arithmetic number, because the mean of its divisors is an integer number (17968834660).

Almost surely, 2^{18614744628480} is an apocalyptic number.

18614744628480 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 18614744628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46575219438720).

18614744628480 is an abundant number, since it is smaller than the sum of its proper divisors (74535694248960).

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

18614744628480 is an equidigital number, since it uses as much as digits as its factorization.

18614744628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 18614744628480 in words is "eighteen trillion, six hundred fourteen billion, seven hundred forty-four million, six hundred twenty-eight thousand, four hundred eighty".