18049631964000 has 1728 divisors, whose sum is σ = 75622265252352. Its totient is φ = 3750050304000.

The previous prime is 18049631963989. The next prime is 18049631964011. The reversal of 18049631964000 is 46913694081.

It is an interprime number because it is at equal distance from previous prime (18049631963989) and next prime (18049631964011).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 6657922645 + ... + 6657925355.

It is an arithmetic number, because the mean of its divisors is an integer number (43762884984).

Almost surely, 2^{18049631964000} is an apocalyptic number.

18049631964000 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 18049631964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37811132626176).

18049631964000 is an abundant number, since it is smaller than the sum of its proper divisors (57572633288352).

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

18049631964000 is a wasteful number, since it uses less digits than its factorization.

18049631964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 18049631964000 in words is "eighteen trillion, forty-nine billion, six hundred thirty-one million, nine hundred sixty-four thousand".