46638314949157 has 2 divisors, whose sum is σ = 46638314949158. Its totient is φ = 46638314949156.

The previous prime is 46638314949151. The next prime is 46638314949179. The reversal of 46638314949157 is 75194941383664.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40773001119876 + 5865313829281 = 6385374^2 + 2421841^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-46638314949157 is a prime.

It is a super-3 number, since 3×46638314949157³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46638314949151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23319157474578 + 23319157474579.

It is an arithmetic number, because the mean of its divisors is an integer number (23319157474579).

Almost surely, 2^{46638314949157} is an apocalyptic number.

It is an amenable number.

46638314949157 is a deficient number, since it is larger than the sum of its proper divisors (1).

46638314949157 is an equidigital number, since it uses as much as digits as its factorization.

46638314949157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 470292480, while the sum is 70.

The spelling of 46638314949157 in words is "forty-six trillion, six hundred thirty-eight billion, three hundred fourteen million, nine hundred forty-nine thousand, one hundred fifty-seven".