18348379628544 has 1408 divisors, whose sum is σ = 68774798131200. Its totient is φ = 4714032660480.

The previous prime is 18348379628543. The next prime is 18348379628581. The reversal of 18348379628544 is 44582697384381.

18348379628544 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 8 + 3 + 79 + 6 + 2 + 8 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (18348379628543) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6041611794 + ... + 6041614830.

Almost surely, 2^{18348379628544} is an apocalyptic number.

18348379628544 is a gapful number since it is divisible by the number (14) 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 18348379628544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34387399065600).

18348379628544 is an abundant number, since it is smaller than the sum of its proper divisors (50426418502656).

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

18348379628544 is a wasteful number, since it uses less digits than its factorization.

18348379628544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3152 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 18348379628544 in words is "eighteen trillion, three hundred forty-eight billion, three hundred seventy-nine million, six hundred twenty-eight thousand, five hundred forty-four".