308503967046961 has 81 divisors (see below), whose sum is σ = 385229812342401. Its totient is φ = 246288877438464.

The previous prime is 308503967046943. The next prime is 308503967046967. The reversal of 308503967046961 is 169640769305803.

The square root of 308503967046961 is 17564281.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 114466867768561 + 194037099278400 = 10698919^2 + 13929720^2 .

It is not a de Polignac number, because 308503967046961 - 2⁵ = 308503967046929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (308503967046967) 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 in 80 ways as a sum of consecutive naturals, for example, 215285391501 + ... + 215285392933.

Almost surely, 2^{308503967046961} is an apocalyptic number.

308503967046961 is the 17564281-st square number.

308503967046961 is the 8782141-st centered octagonal number.

It is an amenable number.

308503967046961 is a deficient number, since it is larger than the sum of its proper divisors (76725845295440).

308503967046961 is an frugal number, since it uses more digits than its factorization.

308503967046961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 67.

The spelling of 308503967046961 in words is "three hundred eight trillion, five hundred three billion, nine hundred sixty-seven million, forty-six thousand, nine hundred sixty-one".