18645405616152 has 640 divisors, whose sum is σ = 63790716464640. Its totient is φ = 4987451750400.

The previous prime is 18645405616147. The next prime is 18645405616261. The reversal of 18645405616152 is 25161650454681.

18645405616152 is a `hidden beast` number, since 1 + 8 + 6 + 4 + 5 + 4 + 0 + 5 + 616 + 15 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 3691426027 + ... + 3691431077.

It is an arithmetic number, because the mean of its divisors is an integer number (99672994476).

Almost surely, 2^{18645405616152} is an apocalyptic number.

18645405616152 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 18645405616152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31895358232320).

18645405616152 is an abundant number, since it is smaller than the sum of its proper divisors (45145310848488).

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

18645405616152 is an equidigital number, since it uses as much as digits as its factorization.

18645405616152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 18645405616152 in words is "eighteen trillion, six hundred forty-five billion, four hundred five million, six hundred sixteen thousand, one hundred fifty-two".