18457248516100 has 81 divisors (see below), whose sum is σ = 40199977284831. Its totient is φ = 7355764670400.

The previous prime is 18457248516097. The next prime is 18457248516127. The reversal of 18457248516100 is 161584275481.

It is a happy number.

The square root of 18457248516100 is 4296190.

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 189898979076 + 18267349537024 = 435774^2 + 4274032^2 .

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, 14993702485 + ... + 14993703715.

Almost surely, 2^{18457248516100} is an apocalyptic number.

18457248516100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18457248516100 is the 4296190-th square number.

It is an amenable number.

18457248516100 is an abundant number, since it is smaller than the sum of its proper divisors (21742728768731).

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

18457248516100 is an frugal number, since it uses more digits than its factorization.

18457248516100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 52.

The spelling of 18457248516100 in words is "eighteen trillion, four hundred fifty-seven billion, two hundred forty-eight million, five hundred sixteen thousand, one hundred".