1418918705568 has 720 divisors, whose sum is σ = 5262752214720. Its totient is φ = 354251169792.

The previous prime is 1418918705551. The next prime is 1418918705569. The reversal of 1418918705568 is 8655078198141.

1418918705568 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 9 + 1 + 8 + 70 + 556 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1418918705569) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1093999896 + ... + 1094001192.

It is an arithmetic number, because the mean of its divisors is an integer number (7309378076).

Almost surely, 2^{1418918705568} is an apocalyptic number.

1418918705568 is a gapful number since it is divisible by the number (18) 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 1418918705568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631376107360).

1418918705568 is an abundant number, since it is smaller than the sum of its proper divisors (3843833509152).

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

1418918705568 is a wasteful number, since it uses less digits than its factorization.

1418918705568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 63.

The spelling of 1418918705568 in words is "one trillion, four hundred eighteen billion, nine hundred eighteen million, seven hundred five thousand, five hundred sixty-eight".