1518164648000 has 1792 divisors, whose sum is σ = 5320140134400. Its totient is φ = 422682624000.

The previous prime is 1518164647973. The next prime is 1518164648003. The reversal of 1518164648000 is 8464618151.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (1518164648003) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20796775964 + ... + 20796776036.

It is an arithmetic number, because the mean of its divisors is an integer number (2968828200).

Almost surely, 2^{1518164648000} is an apocalyptic number.

1518164648000 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 1518164648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660070067200).

1518164648000 is an abundant number, since it is smaller than the sum of its proper divisors (3801975486400).

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

1518164648000 is a wasteful number, since it uses less digits than its factorization.

1518164648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The spelling of 1518164648000 in words is "one trillion, five hundred eighteen billion, one hundred sixty-four million, six hundred forty-eight thousand".