18051952145700 has 288 divisors, whose sum is σ = 57540382179840. Its totient is φ = 4333155276800.

The previous prime is 18051952145693. The next prime is 18051952145719. The reversal of 18051952145700 is 754125915081.

It is a self number, because there is not a number n which added to its sum of digits gives 18051952145700.

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 95 ways as a sum of consecutive naturals, for example, 379961347 + ... + 380008853.

It is an arithmetic number, because the mean of its divisors is an integer number (199792993680).

Almost surely, 2^{18051952145700} is an apocalyptic number.

18051952145700 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 18051952145700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28770191089920).

18051952145700 is an abundant number, since it is smaller than the sum of its proper divisors (39488430034140).

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

18051952145700 is a wasteful number, since it uses less digits than its factorization.

18051952145700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48667 (or 48660 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 48.

The spelling of 18051952145700 in words is "eighteen trillion, fifty-one billion, nine hundred fifty-two million, one hundred forty-five thousand, seven hundred".