464918142401 has 2 divisors, whose sum is σ = 464918142402. Its totient is φ = 464918142400.

The previous prime is 464918142373. The next prime is 464918142427. The reversal of 464918142401 is 104241819464.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 381151890625 + 83766251776 = 617375^2 + 289424^2 .

It is a cyclic number.

It is not a de Polignac number, because 464918142401 - 2¹⁸ = 464917880257 is a prime.

It is a super-2 number, since 2×464918142401² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (464918342401) 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, 232459071200 + 232459071201.

It is an arithmetic number, because the mean of its divisors is an integer number (232459071201).

Almost surely, 2^464918142401 is an apocalyptic number.

It is an amenable number.

464918142401 is a deficient number, since it is larger than the sum of its proper divisors (1).

464918142401 is an equidigital number, since it uses as much as digits as its factorization.

464918142401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 464918142401 in words is "four hundred sixty-four billion, nine hundred eighteen million, one hundred forty-two thousand, four hundred one".