18418458240000 has 5280 divisors, whose sum is σ = 90998914026240. Its totient is φ = 3588489216000.

The previous prime is 18418458239953. The next prime is 18418458240041. The reversal of 18418458240000 is 4285481481.

18418458240000 is a `hidden beast` number, since 18 + 4 + 18 + 4 + 582 + 40 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 347518079974 + ... + 347518080026.

It is an arithmetic number, because the mean of its divisors is an integer number (17234642808).

Almost surely, 2^{18418458240000} is an apocalyptic number.

18418458240000 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 18418458240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45499457013120).

18418458240000 is an abundant number, since it is smaller than the sum of its proper divisors (72580455786240).

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

18418458240000 is a wasteful number, since it uses less digits than its factorization.

18418458240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 18418458240000 in words is "eighteen trillion, four hundred eighteen billion, four hundred fifty-eight million, two hundred forty thousand".