18135946752 has 640 divisors, whose sum is σ = 64487301120. Its totient is φ = 4390256640.

The previous prime is 18135946739. The next prime is 18135946757. The reversal of 18135946752 is 25764953181.

It is a junction number, because it is equal to n+sod(n) for n = 18135946695 and 18135946704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18135946757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160495048 + ... + 160495160.

It is an arithmetic number, because the mean of its divisors is an integer number (100761408).

Almost surely, 2^18135946752 is an apocalyptic number.

18135946752 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 18135946752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32243650560).

18135946752 is an abundant number, since it is smaller than the sum of its proper divisors (46351354368).

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

18135946752 is a wasteful number, since it uses less digits than its factorization.

18135946752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The spelling of 18135946752 in words is "eighteen billion, one hundred thirty-five million, nine hundred forty-six thousand, seven hundred fifty-two".