450206136000261 has 16 divisors (see below), whose sum is σ = 683239664392320. Its totient is φ = 292816999023840.

The previous prime is 450206136000199. The next prime is 450206136000287. The reversal of 450206136000261 is 162000631602054.

450206136000261 is a `hidden beast` number, since 4 + 5 + 0 + 20 + 6 + 1 + 3 + 600 + 0 + 26 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-450206136000261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450206136007261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203345137105 + ... + 203345139318.

It is an arithmetic number, because the mean of its divisors is an integer number (42702479024520).

Almost surely, 2^{450206136000261} is an apocalyptic number.

450206136000261 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

450206136000261 is a deficient number, since it is larger than the sum of its proper divisors (233033528392059).

450206136000261 is a wasteful number, since it uses less digits than its factorization.

450206136000261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406690276473 (or 406690276467 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 450206136000261 in words is "four hundred fifty trillion, two hundred six billion, one hundred thirty-six million, two hundred sixty-one", and thus it is an aban number.