46958972860801 has 2 divisors, whose sum is σ = 46958972860802. Its totient is φ = 46958972860800.

The previous prime is 46958972860763. The next prime is 46958972860879. The reversal of 46958972860801 is 10806827985964.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43372498208400 + 3586474652401 = 6585780^2 + 1893799^2 .

It is a cyclic number.

It is not a de Polignac number, because 46958972860801 - 2⁷ = 46958972860673 is a prime.

It is not a weakly prime, because it can be changed into another prime (46958972860001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23479486430400 + 23479486430401.

It is an arithmetic number, because the mean of its divisors is an integer number (23479486430401).

Almost surely, 2^{46958972860801} is an apocalyptic number.

It is an amenable number.

46958972860801 is a deficient number, since it is larger than the sum of its proper divisors (1).

46958972860801 is an equidigital number, since it uses as much as digits as its factorization.

46958972860801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 418037760, while the sum is 73.

The spelling of 46958972860801 in words is "forty-six trillion, nine hundred fifty-eight billion, nine hundred seventy-two million, eight hundred sixty thousand, eight hundred one".