206423100465138 has 96 divisors (see below), whose sum is σ = 459853748997552. Its totient is φ = 66872865945600.

The previous prime is 206423100465133. The next prime is 206423100465157. The reversal of 206423100465138 is 831564001324602.

206423100465138 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 23 + 100 + 4 + 6 + 513 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 173928962133369 + 32494138331769 = 13188213^2 + 5700363^2 .

It is a super-2 number, since 2×206423100465138² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 206423100465093 and 206423100465102.

It is not an unprimeable number, because it can be changed into a prime (206423100465133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5924700598 + ... + 5924735438.

Almost surely, 2^{206423100465138} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206423100465138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229926874498776).

206423100465138 is an abundant number, since it is smaller than the sum of its proper divisors (253430648532414).

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

206423100465138 is a wasteful number, since it uses less digits than its factorization.

206423100465138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44620 (or 44617 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 206423100465138 in words is "two hundred six trillion, four hundred twenty-three billion, one hundred million, four hundred sixty-five thousand, one hundred thirty-eight".