182113227936 has 336 divisors, whose sum is σ = 579076646400. Its totient is φ = 56186887680.

The previous prime is 182113227853. The next prime is 182113227997. The reversal of 182113227936 is 639722311281.

It is a happy number.

182113227936 is a `hidden beast` number, since 18 + 211 + 322 + 79 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 182113227891 and 182113227900.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 16627390 + ... + 16638338.

It is an arithmetic number, because the mean of its divisors is an integer number (1723442400).

Almost surely, 2^182113227936 is an apocalyptic number.

182113227936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182113227936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289538323200).

182113227936 is an abundant number, since it is smaller than the sum of its proper divisors (396963418464).

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

182113227936 is a wasteful number, since it uses less digits than its factorization.

182113227936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11031 (or 11008 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 182113227936 in words is "one hundred eighty-two billion, one hundred thirteen million, two hundred twenty-seven thousand, nine hundred thirty-six".