18352120900 has 243 divisors, whose sum is σ = 45400338333. Its totient is φ = 6437534400.

The previous prime is 18352120861. The next prime is 18352120909. The reversal of 18352120900 is 902125381.

The square root of 18352120900 is 135470.

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

It can be written as a sum of positive squares in only one way, i.e., 6606763524 + 11745357376 = 81282^2 + 108376^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (18352120909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 592003885 + ... + 592003915.

Almost surely, 2^18352120900 is an apocalyptic number.

18352120900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18352120900 is the 135470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18352120900

18352120900 is an abundant number, since it is smaller than the sum of its proper divisors (27048217433).

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

18352120900 is a wasteful number, since it uses less digits than its factorization.

18352120900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 18352120900 in words is "eighteen billion, three hundred fifty-two million, one hundred twenty thousand, nine hundred".