18254712100 has 81 divisors (see below), whose sum is σ = 40472238387. Its totient is φ = 7146778560.

The previous prime is 18254712017. The next prime is 18254712139. The reversal of 18254712100 is 121745281.

The square root of 18254712100 is 135110.

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 2491407396 + 15763304704 = 49914^2 + 125552^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79714786 + ... + 79715014.

Almost surely, 2^18254712100 is an apocalyptic number.

18254712100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18254712100 is the 135110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18254712100

18254712100 is an abundant number, since it is smaller than the sum of its proper divisors (22217526287).

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

18254712100 is an equidigital number, since it uses as much as digits as its factorization.

18254712100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The spelling of 18254712100 in words is "eighteen billion, two hundred fifty-four million, seven hundred twelve thousand, one hundred".