18205232948136 has 512 divisors, whose sum is σ = 56814912000000. Its totient is φ = 5362804371456.

The previous prime is 18205232948131. The next prime is 18205232948137. The reversal of 18205232948136 is 63184923250281.

18205232948136 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 523 + 2 + 9 + 4 + 81 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18205232948131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10349762025 + ... + 10349763783.

It is an arithmetic number, because the mean of its divisors is an integer number (110966625000).

Almost surely, 2^{18205232948136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18205232948136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28407456000000).

18205232948136 is an abundant number, since it is smaller than the sum of its proper divisors (38609679051864).

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

18205232948136 is a wasteful number, since it uses less digits than its factorization.

18205232948136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 18205232948136 in words is "eighteen trillion, two hundred five billion, two hundred thirty-two million, nine hundred forty-eight thousand, one hundred thirty-six".