46400506057 has 2 divisors, whose sum is σ = 46400506058. Its totient is φ = 46400506056.

The previous prime is 46400506037. The next prime is 46400506073. The reversal of 46400506057 is 75060500464.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45493050681 + 907455376 = 213291^2 + 30124^2 .

It is a cyclic number.

It is not a de Polignac number, because 46400506057 - 2¹¹ = 46400504009 is a prime.

It is not a weakly prime, because it can be changed into another prime (46400506037) 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, 23200253028 + 23200253029.

It is an arithmetic number, because the mean of its divisors is an integer number (23200253029).

Almost surely, 2^46400506057 is an apocalyptic number.

It is an amenable number.

46400506057 is a deficient number, since it is larger than the sum of its proper divisors (1).

46400506057 is an equidigital number, since it uses as much as digits as its factorization.

46400506057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 46400506057 in words is "forty-six billion, four hundred million, five hundred six thousand, fifty-seven".