1518317894016 has 384 divisors, whose sum is σ = 5490144092160. Its totient is φ = 391260119040.

The previous prime is 1518317894003. The next prime is 1518317894057. The reversal of 1518317894016 is 6104987138151.

1518317894016 is a `hidden beast` number, since 1 + 518 + 3 + 1 + 7 + 89 + 40 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11198020 + ... + 11332796.

It is an arithmetic number, because the mean of its divisors is an integer number (14297250240).

Almost surely, 2^{1518317894016} is an apocalyptic number.

1518317894016 is a gapful number since it is divisible by the number (16) 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 1518317894016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745072046080).

1518317894016 is an abundant number, since it is smaller than the sum of its proper divisors (3971826198144).

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

1518317894016 is a wasteful number, since it uses less digits than its factorization.

1518317894016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134942 (or 134927 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 1518317894016 in words is "one trillion, five hundred eighteen billion, three hundred seventeen million, eight hundred ninety-four thousand, sixteen".