18827476396096 has 189 divisors, whose sum is σ = 39045011571111. Its totient is φ = 9007480313856.

The previous prime is 18827476396093. The next prime is 18827476396109. The reversal of 18827476396096 is 69069367472881.

The square root of 18827476396096 is 4339064.

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 5025954194496 + 13801522201600 = 2241864^2 + 3715040^2 .

It is a super-3 number, since 3×18827476396096³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (18827476396093) by changing a digit.

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, 137426834940 + ... + 137426835076.

Almost surely, 2^{18827476396096} is an apocalyptic number.

18827476396096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18827476396096 is the 4339064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18827476396096

18827476396096 is an abundant number, since it is smaller than the sum of its proper divisors (20217535175015).

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

18827476396096 is an frugal number, since it uses more digits than its factorization.

18827476396096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 76.

The spelling of 18827476396096 in words is "eighteen trillion, eight hundred twenty-seven billion, four hundred seventy-six million, three hundred ninety-six thousand, ninety-six".