1218463561728 has 192 divisors, whose sum is σ = 4125008160000. Its totient is φ = 348132335616.

The previous prime is 1218463561727. The next prime is 1218463561739. The reversal of 1218463561728 is 8271653648121.

It is a happy number.

1218463561728 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 4 + 6 + 3 + 561 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1218463561727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1186878 + ... + 1961021.

It is an arithmetic number, because the mean of its divisors is an integer number (21484417500).

Almost surely, 2^{1218463561728} is an apocalyptic number.

1218463561728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1218463561728 is an abundant number, since it is smaller than the sum of its proper divisors (2906544598272).

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

1218463561728 is an equidigital number, since it uses as much as digits as its factorization.

1218463561728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147937 (or 3147911 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 1218463561728 in words is "one trillion, two hundred eighteen billion, four hundred sixty-three million, five hundred sixty-one thousand, seven hundred twenty-eight".