18868052649600 has 2688 divisors, whose sum is σ = 90934902650880. Its totient is φ = 3749350809600.

The previous prime is 18868052649581. The next prime is 18868052649601. The reversal of 18868052649600 is 694625086881.

18868052649600 is a `hidden beast` number, since 1 + 8 + 8 + 6 + 8 + 0 + 526 + 49 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (18868052649601) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4131386517 + ... + 4131391083.

Almost surely, 2^{18868052649600} is an apocalyptic number.

18868052649600 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 18868052649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45467451325440).

18868052649600 is an abundant number, since it is smaller than the sum of its proper divisors (72066850001280).

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

18868052649600 is a wasteful number, since it uses less digits than its factorization.

18868052649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 18868052649600 in words is "eighteen trillion, eight hundred sixty-eight billion, fifty-two million, six hundred forty-nine thousand, six hundred".