45213223512105 has 192 divisors, whose sum is σ = 92645173640448. Its totient is φ = 20148583956480.

The previous prime is 45213223512073. The next prime is 45213223512133. The reversal of 45213223512105 is 50121532231254.

45213223512105 is a `hidden beast` number, since 4 + 5 + 2 + 1 + 32 + 2 + 3 + 512 + 105 = 666.

It is not a de Polignac number, because 45213223512105 - 2⁵ = 45213223512073 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45213223512105.

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 191 ways as a sum of consecutive naturals, for example, 3400250817 + ... + 3400264113.

It is an arithmetic number, because the mean of its divisors is an integer number (482526946044).

Almost surely, 2^{45213223512105} is an apocalyptic number.

45213223512105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45213223512105 is an abundant number, since it is smaller than the sum of its proper divisors (47431950128343).

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

45213223512105 is a wasteful number, since it uses less digits than its factorization.

45213223512105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22776 (or 22773 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 45213223512105 its reverse (50121532231254), we get a palindrome (95334755743359).

The spelling of 45213223512105 in words is "forty-five trillion, two hundred thirteen billion, two hundred twenty-three million, five hundred twelve thousand, one hundred five".