18012505564872 has 768 divisors, whose sum is σ = 65283683512320. Its totient is φ = 4522254105600.

The previous prime is 18012505564871. The next prime is 18012505564873. The reversal of 18012505564872 is 27846550521081.

18012505564872 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 2 + 5 + 0 + 5 + 564 + 8 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (18012505564871) and next prime (18012505564873).

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 (18012505564871) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 858504622 + ... + 858525602.

It is an arithmetic number, because the mean of its divisors is an integer number (85004796240).

Almost surely, 2^{18012505564872} is an apocalyptic number.

18012505564872 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 18012505564872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32641841756160).

18012505564872 is an abundant number, since it is smaller than the sum of its proper divisors (47271177947448).

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

18012505564872 is a wasteful number, since it uses less digits than its factorization.

18012505564872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21256 (or 21240 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 18012505564872 in words is "eighteen trillion, twelve billion, five hundred five million, five hundred sixty-four thousand, eight hundred seventy-two".