46477599577457 has 2 divisors, whose sum is σ = 46477599577458. Its totient is φ = 46477599577456.

The previous prime is 46477599577403. The next prime is 46477599577511. The reversal of 46477599577457 is 75477599577464.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (46477599577403) and next prime (46477599577511).

It can be written as a sum of positive squares in only one way, i.e., 39519315300721 + 6958284276736 = 6286439^2 + 2637856^2 .

It is a cyclic number.

It is not a de Polignac number, because 46477599577457 - 2³⁶ = 46408880100721 is a prime.

It is a super-2 number, since 2×46477599577457² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (46477599579457) 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, 23238799788728 + 23238799788729.

It is an arithmetic number, because the mean of its divisors is an integer number (23238799788729).

Almost surely, 2^{46477599577457} is an apocalyptic number.

It is an amenable number.

46477599577457 is a deficient number, since it is larger than the sum of its proper divisors (1).

46477599577457 is an equidigital number, since it uses as much as digits as its factorization.

46477599577457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 65345616000, while the sum is 86.

The spelling of 46477599577457 in words is "forty-six trillion, four hundred seventy-seven billion, five hundred ninety-nine million, five hundred seventy-seven thousand, four hundred fifty-seven".