1818624068352 has 864 divisors, whose sum is σ = 6754212960768. Its totient is φ = 475225325568.

The previous prime is 1818624068347. The next prime is 1818624068353. The reversal of 1818624068352 is 2538604268181.

1818624068352 is a `hidden beast` number, since 1 + 8 + 1 + 8 + 624 + 0 + 6 + 8 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (1818624068353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 639683443 + ... + 639686285.

It is an arithmetic number, because the mean of its divisors is an integer number (7817376112).

Almost surely, 2^{1818624068352} is an apocalyptic number.

1818624068352 is a gapful number since it is divisible by the number (12) 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 1818624068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377106480384).

1818624068352 is an abundant number, since it is smaller than the sum of its proper divisors (4935588892416).

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

1818624068352 is a wasteful number, since it uses less digits than its factorization.

1818624068352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 1818624068352 in words is "one trillion, eight hundred eighteen billion, six hundred twenty-four million, sixty-eight thousand, three hundred fifty-two".