18105958957632 has 224 divisors, whose sum is σ = 58968470937600. Its totient is φ = 4774546778112.

The previous prime is 18105958957631. The next prime is 18105958957637. The reversal of 18105958957632 is 23675985950181.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (18105958957631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135498469 + ... + 135632027.

It is an arithmetic number, because the mean of its divisors is an integer number (263252102400).

Almost surely, 2^{18105958957632} is an apocalyptic number.

18105958957632 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 18105958957632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484235468800).

18105958957632 is an abundant number, since it is smaller than the sum of its proper divisors (40862511979968).

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

18105958957632 is a wasteful number, since it uses less digits than its factorization.

18105958957632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141353 (or 141343 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 69.

The spelling of 18105958957632 in words is "eighteen trillion, one hundred five billion, nine hundred fifty-eight million, nine hundred fifty-seven thousand, six hundred thirty-two".