18252394288128 has 2112 divisors, whose sum is σ = 74089438445568. Its totient is φ = 4334215495680.

The previous prime is 18252394288087. The next prime is 18252394288129. The reversal of 18252394288128 is 82188249325281.

18252394288128 is a `hidden beast` number, since 1 + 8 + 2 + 52 + 39 + 428 + 8 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18252394288129) 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 191 ways as a sum of consecutive naturals, for example, 31633265376 + ... + 31633265952.

Almost surely, 2^{18252394288128} is an apocalyptic number.

18252394288128 is a gapful number since it is divisible by the number (18) 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 18252394288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37044719222784).

18252394288128 is an abundant number, since it is smaller than the sum of its proper divisors (55837044157440).

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

18252394288128 is a wasteful number, since it uses less digits than its factorization.

18252394288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 740 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 63.

The spelling of 18252394288128 in words is "eighteen trillion, two hundred fifty-two billion, three hundred ninety-four million, two hundred eighty-eight thousand, one hundred twenty-eight".