18741610000 has 125 divisors (see below), whose sum is σ = 46635736631. Its totient is φ = 7294032000.

The previous prime is 18741609989. The next prime is 18741610009. The reversal of 18741610000 is 1614781.

The square root of 18741610000 is 136900.

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

It can be written as a sum of positive squares in 12 ways, for example, as 12300584464 + 6441025536 = 110908^2 + 80256^2 .

It is a tau number, because it is divible by the number of its divisors (125).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18741610009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 506529982 + ... + 506530018.

Almost surely, 2^18741610000 is an apocalyptic number.

18741610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18741610000 is the 136900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18741610000

18741610000 is an abundant number, since it is smaller than the sum of its proper divisors (27894126631).

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

18741610000 is an frugal number, since it uses more digits than its factorization.

18741610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The spelling of 18741610000 in words is "eighteen billion, seven hundred forty-one million, six hundred ten thousand".