18013488114240 has 1344 divisors, whose sum is σ = 67604123059200. Its totient is φ = 4392802713600.

The previous prime is 18013488114239. The next prime is 18013488114241. The reversal of 18013488114240 is 4241188431081.

18013488114240 is a `hidden beast` number, since 1 + 8 + 0 + 13 + 488 + 114 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (18013488114239) and next prime (18013488114241).

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

It is not an unprimeable number, because it can be changed into a prime (18013488114241) 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, 17337331641 + ... + 17337332679.

It is an arithmetic number, because the mean of its divisors is an integer number (50300686800).

Almost surely, 2^{18013488114240} is an apocalyptic number.

18013488114240 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 18013488114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33802061529600).

18013488114240 is an abundant number, since it is smaller than the sum of its proper divisors (49590634944960).

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

18013488114240 is a wasteful number, since it uses less digits than its factorization.

18013488114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 18013488114240 in words is "eighteen trillion, thirteen billion, four hundred eighty-eight million, one hundred fourteen thousand, two hundred forty".