18131213668050 has 240 divisors, whose sum is σ = 57587560588800. Its totient is φ = 4143355856640.

The previous prime is 18131213668049. The next prime is 18131213668079. The reversal of 18131213668050 is 5086631213181.

18131213668050 is a `hidden beast` number, since 1 + 81 + 312 + 136 + 6 + 80 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 18131213667987 and 18131213668005.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 131730367 + ... + 131867933.

It is an arithmetic number, because the mean of its divisors is an integer number (239948169120).

Almost surely, 2^{18131213668050} is an apocalyptic number.

18131213668050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18131213668050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28793780294400).

18131213668050 is an abundant number, since it is smaller than the sum of its proper divisors (39456346920750).

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

18131213668050 is a wasteful number, since it uses less digits than its factorization.

18131213668050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142247 (or 142233 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 18131213668050 in words is "eighteen trillion, one hundred thirty-one billion, two hundred thirteen million, six hundred sixty-eight thousand, fifty".