18541084836096 has 243 divisors, whose sum is σ = 54019099814589. Its totient is φ = 6116220389376.

The previous prime is 18541084836059. The next prime is 18541084836121. The reversal of 18541084836096 is 69063848014581.

The square root of 18541084836096 is 4305936.

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

18541084836096 is a `hidden beast` number, since 1 + 8 + 5 + 4 + 1 + 0 + 8 + 483 + 60 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12923047178496 + 5618037657600 = 3594864^2 + 2370240^2 .

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, 22528656741 + ... + 22528657563.

Almost surely, 2^{18541084836096} is an apocalyptic number.

18541084836096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18541084836096 is the 4305936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18541084836096

18541084836096 is an abundant number, since it is smaller than the sum of its proper divisors (35478014978493).

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

18541084836096 is an frugal number, since it uses more digits than its factorization.

18541084836096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 18541084836096 in words is "eighteen trillion, five hundred forty-one billion, eighty-four million, eight hundred thirty-six thousand, ninety-six".