138421766417283 has 32 divisors (see below), whose sum is σ = 205322438062080. Its totient is φ = 92167274304000.

The previous prime is 138421766417159. The next prime is 138421766417317. The reversal of 138421766417283 is 382714667124831.

138421766417283 is a `hidden beast` number, since 1 + 3 + 8 + 42 + 176 + 6 + 417 + 2 + 8 + 3 = 666.

It is a Cunningham number, because it is equal to 11765278²-1.

It is not a de Polignac number, because 138421766417283 - 2³² = 138417471449987 is a prime.

It is a super-2 number, since 2×138421766417283² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138421766417283.

It is not an unprimeable number, because it can be changed into a prime (138421766419283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317444658 + ... + 317880408.

It is an arithmetic number, because the mean of its divisors is an integer number (6416326189440).

Almost surely, 2^{138421766417283} is an apocalyptic number.

138421766417283 is a deficient number, since it is larger than the sum of its proper divisors (66900671644797).

138421766417283 is a wasteful number, since it uses less digits than its factorization.

138421766417283 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450256 (or 450250 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 138421766417283 in words is "one hundred thirty-eight trillion, four hundred twenty-one billion, seven hundred sixty-six million, four hundred seventeen thousand, two hundred eighty-three".