1018142668800 has 216 divisors, whose sum is σ = 3646324510920. Its totient is φ = 271504588800.

The previous prime is 1018142668793. The next prime is 1018142668843. The reversal of 1018142668800 is 88662418101.

1018142668800 is a `hidden beast` number, since 10 + 1 + 81 + 426 + 68 + 80 + 0 = 666.

It is a super-2 number, since 2×1018142668800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 643956 + ... + 1565555.

It is an arithmetic number, because the mean of its divisors is an integer number (16881131995).

Almost surely, 2^{1018142668800} is an apocalyptic number.

1018142668800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1018142668800 is an abundant number, since it is smaller than the sum of its proper divisors (2628181842120).

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

1018142668800 is a wasteful number, since it uses less digits than its factorization.

1018142668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209549 (or 2209521 counting only the distinct ones).

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

The spelling of 1018142668800 in words is "one trillion, eighteen billion, one hundred forty-two million, six hundred sixty-eight thousand, eight hundred".