46006754572993 has 2 divisors, whose sum is σ = 46006754572994. Its totient is φ = 46006754572992.

The previous prime is 46006754572957. The next prime is 46006754572997. The reversal of 46006754572993 is 39927545760064.

46006754572993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36686849239089 + 9319905333904 = 6056967^2 + 3052852^2 .

It is a cyclic number.

It is not a de Polignac number, because 46006754572993 - 2²⁵ = 46006721018561 is a prime.

It is a super-2 number, since 2×46006754572993² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (46006754572997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23003377286496 + 23003377286497.

It is an arithmetic number, because the mean of its divisors is an integer number (23003377286497).

Almost surely, 2^{46006754572993} is an apocalyptic number.

It is an amenable number.

46006754572993 is a deficient number, since it is larger than the sum of its proper divisors (1).

46006754572993 is an equidigital number, since it uses as much as digits as its factorization.

46006754572993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 342921600, while the sum is 67.

The spelling of 46006754572993 in words is "forty-six trillion, six billion, seven hundred fifty-four million, five hundred seventy-two thousand, nine hundred ninety-three".