18261434755600 has 135 divisors (see below), whose sum is σ = 44926170885063. Its totient is φ = 7133264248320.

The previous prime is 18261434755573. The next prime is 18261434755631. The reversal of 18261434755600 is 655743416281.

The square root of 18261434755600 is 4273340.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3623403618576 + 14638031137024 = 1903524^2 + 3825968^2 .

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 26 ways as a sum of consecutive naturals, for example, 3675069916 + ... + 3675074884.

Almost surely, 2^{18261434755600} is an apocalyptic number.

18261434755600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18261434755600 is the 4273340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18261434755600

18261434755600 is an abundant number, since it is smaller than the sum of its proper divisors (26664736129463).

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

18261434755600 is an frugal number, since it uses more digits than its factorization.

18261434755600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 18261434755600 in words is "eighteen trillion, two hundred sixty-one billion, four hundred thirty-four million, seven hundred fifty-five thousand, six hundred".