18738763489600 has 1008 divisors, whose sum is σ = 59826832409088. Its totient is φ = 5611783680000.

The previous prime is 18738763489513. The next prime is 18738763489603. The reversal of 18738763489600 is 698436783781.

It is a happy number.

It is a super-2 number, since 2×18738763489600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 18738763489600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18738763489603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19298417115 + ... + 19298418085.

Almost surely, 2^{18738763489600} is an apocalyptic number.

18738763489600 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 18738763489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29913416204544).

18738763489600 is an abundant number, since it is smaller than the sum of its proper divisors (41088068919488).

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

18738763489600 is a wasteful number, since it uses less digits than its factorization.

18738763489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 70.

The spelling of 18738763489600 in words is "eighteen trillion, seven hundred thirty-eight billion, seven hundred sixty-three million, four hundred eighty-nine thousand, six hundred".