18148741820352 has 2240 divisors, whose sum is σ = 69338901671424. Its totient is φ = 4608448266240.

The previous prime is 18148741820317. The next prime is 18148741820353. The reversal of 18148741820352 is 25302814784181.

18148741820352 is a `hidden beast` number, since 1 + 8 + 1 + 48 + 74 + 182 + 0 + 352 = 666.

It is a super-3 number, since 3×18148741820352³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18148741820353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 57983200548 + ... + 57983200860.

Almost surely, 2^{18148741820352} is an apocalyptic number.

18148741820352 is a gapful number since it is divisible by the number (12) 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 18148741820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34669450835712).

18148741820352 is an abundant number, since it is smaller than the sum of its proper divisors (51190159851072).

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

18148741820352 is a wasteful number, since it uses less digits than its factorization.

18148741820352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 18148741820352 in words is "eighteen trillion, one hundred forty-eight billion, seven hundred forty-one million, eight hundred twenty thousand, three hundred fifty-two".