18025934524416 has 1521 divisors, whose sum is σ = 68109691728681. Its totient is φ = 4754092621824.

The previous prime is 18025934524363. The next prime is 18025934524417. The reversal of 18025934524416 is 61442543952081.

The square root of 18025934524416 is 4245696.

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

18025934524416 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 59 + 345 + 244 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2666558361600 + 15359376162816 = 1632960^2 + 3919104^2 .

It is a tau number, because it is divible by the number of its divisors (1521).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18025934524417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 1386610348026 + ... + 1386610348038.

Almost surely, 2^{18025934524416} is an apocalyptic number.

18025934524416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18025934524416 is the 4245696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18025934524416

18025934524416 is an abundant number, since it is smaller than the sum of its proper divisors (50083757204265).

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

18025934524416 is an frugal number, since it uses more digits than its factorization.

18025934524416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 18025934524416 in words is "eighteen trillion, twenty-five billion, nine hundred thirty-four million, five hundred twenty-four thousand, four hundred sixteen".