1518045338880 has 2592 divisors, whose sum is σ = 6951745382400. Its totient is φ = 316036546560.

The previous prime is 1518045338879. The next prime is 1518045338903. The reversal of 1518045338880 is 888335408151.

1518045338880 is a `hidden beast` number, since 1 + 5 + 1 + 80 + 453 + 38 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 48969204465 + ... + 48969204495.

Almost surely, 2^{1518045338880} is an apocalyptic number.

1518045338880 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 1518045338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475872691200).

1518045338880 is an abundant number, since it is smaller than the sum of its proper divisors (5433700043520).

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

1518045338880 is an frugal number, since it uses more digits than its factorization.

1518045338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 1518045338880 in words is "one trillion, five hundred eighteen billion, forty-five million, three hundred thirty-eight thousand, eight hundred eighty".