18521411596896 has 768 divisors, whose sum is σ = 55946515968000. Its totient is φ = 5326209810432.

The previous prime is 18521411596811. The next prime is 18521411596921. The reversal of 18521411596896 is 69869511412581.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 41250359680 + ... + 41250360128.

It is an arithmetic number, because the mean of its divisors is an integer number (72847026000).

Almost surely, 2^{18521411596896} is an apocalyptic number.

18521411596896 is a gapful number since it is divisible by the number (16) 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 18521411596896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27973257984000).

18521411596896 is an abundant number, since it is smaller than the sum of its proper divisors (37425104371104).

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

18521411596896 is a wasteful number, since it uses less digits than its factorization.

18521411596896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 863 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 66.

The spelling of 18521411596896 in words is "eighteen trillion, five hundred twenty-one billion, four hundred eleven million, five hundred ninety-six thousand, eight hundred ninety-six".