18302139610000 has 225 divisors, whose sum is σ = 44747467016791. Its totient is φ = 7249497136000.

The previous prime is 18302139609979. The next prime is 18302139610019. The reversal of 18302139610000 is 1693120381.

The square root of 18302139610000 is 4278100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1434887745424 + 16867251864576 = 1197868^2 + 4106976^2 .

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 76577989881 + ... + 76577990119.

Almost surely, 2^{18302139610000} is an apocalyptic number.

18302139610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18302139610000 is the 4278100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18302139610000

18302139610000 is an abundant number, since it is smaller than the sum of its proper divisors (26445327406791).

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

18302139610000 is an frugal number, since it uses more digits than its factorization.

18302139610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 18302139610000 in words is "eighteen trillion, three hundred two billion, one hundred thirty-nine million, six hundred ten thousand".