18516848103936 has 1620 divisors, whose sum is σ = 69837860285622. Its totient is φ = 4706993700864.

The previous prime is 18516848103913. The next prime is 18516848103983. The reversal of 18516848103936 is 63930184861581.

18516848103936 is a `hidden beast` number, since 1 + 8 + 5 + 1 + 68 + 481 + 0 + 3 + 93 + 6 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 2516208097536 + 16000640006400 = 1586256^2 + 4000080^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 161 ways as a sum of consecutive naturals, for example, 32091590880 + ... + 32091591456.

Almost surely, 2^{18516848103936} is an apocalyptic number.

18516848103936 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 18516848103936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34918930142811).

18516848103936 is an abundant number, since it is smaller than the sum of its proper divisors (51321012181686).

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

18516848103936 is a wasteful number, since it uses less digits than its factorization.

18516848103936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 18516848103936 in words is "eighteen trillion, five hundred sixteen billion, eight hundred forty-eight million, one hundred three thousand, nine hundred thirty-six".