1318461401088 has 720 divisors, whose sum is σ = 4308903799200. Its totient is φ = 401462231040.

The previous prime is 1318461401063. The next prime is 1318461401111. The reversal of 1318461401088 is 8801041648131.

1318461401088 is a `hidden beast` number, since 1 + 3 + 18 + 4 + 614 + 0 + 10 + 8 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3672594253 + ... + 3672594611.

It is an arithmetic number, because the mean of its divisors is an integer number (5984588610).

Almost surely, 2^{1318461401088} is an apocalyptic number.

1318461401088 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 1318461401088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154451899600).

1318461401088 is an abundant number, since it is smaller than the sum of its proper divisors (2990442398112).

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

1318461401088 is a wasteful number, since it uses less digits than its factorization.

1318461401088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 1318461401088 in words is "one trillion, three hundred eighteen billion, four hundred sixty-one million, four hundred one thousand, eighty-eight".