18181864290240 has 896 divisors, whose sum is σ = 76365947750400. Its totient is φ = 3985740103680.

The previous prime is 18181864290211. The next prime is 18181864290241. The reversal of 18181864290240 is 4209246818181.

18181864290240 is a `hidden beast` number, since 1 + 8 + 18 + 186 + 429 + 0 + 24 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18181864290241) 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, 146238982 + ... + 146363258.

It is an arithmetic number, because the mean of its divisors is an integer number (85229852400).

Almost surely, 2^{18181864290240} is an apocalyptic number.

18181864290240 is a gapful number since it is divisible by the number (10) 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 18181864290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38182973875200).

18181864290240 is an abundant number, since it is smaller than the sum of its proper divisors (58184083460160).

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

18181864290240 is a wasteful number, since it uses less digits than its factorization.

18181864290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124410 (or 124394 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 18181864290240 in words is "eighteen trillion, one hundred eighty-one billion, eight hundred sixty-four million, two hundred ninety thousand, two hundred forty".