45014133212145 has 192 divisors, whose sum is σ = 84376246616064. Its totient is φ = 22135047137280.

The previous prime is 45014133212101. The next prime is 45014133212159. The reversal of 45014133212145 is 54121233141054.

45014133212145 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 413 + 3 + 21 + 214 + 5 = 666.

It is not a de Polignac number, because 45014133212145 - 2¹⁰ = 45014133211121 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18889689624 + ... + 18889692006.

It is an arithmetic number, because the mean of its divisors is an integer number (439459617792).

Almost surely, 2^{45014133212145} is an apocalyptic number.

45014133212145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45014133212145 is a deficient number, since it is larger than the sum of its proper divisors (39362113403919).

45014133212145 is a wasteful number, since it uses less digits than its factorization.

45014133212145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 45014133212145 its reverse (54121233141054), we get a palindrome (99135366353199).

The spelling of 45014133212145 in words is "forty-five trillion, fourteen billion, one hundred thirty-three million, two hundred twelve thousand, one hundred forty-five".