466036963561 has 27 divisors (see below), whose sum is σ = 536248262991. Its totient is φ = 404751719424.

The previous prime is 466036963537. The next prime is 466036963573. The reversal of 466036963561 is 165369630664.

The square root of 466036963561 is 682669.

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

It can be written as a sum of positive squares in 13 ways, for example, as 65423919961 + 400613043600 = 255781^2 + 632940^2 .

It is not a de Polignac number, because 466036963561 - 2⁵ = 466036963529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (466036963501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150868305 + ... + 150871393.

Almost surely, 2^466036963561 is an apocalyptic number.

466036963561 is the 682669-th square number.

466036963561 is the 341335-th centered octagonal number.

It is an amenable number.

466036963561 is a deficient number, since it is larger than the sum of its proper divisors (70211299430).

466036963561 is an frugal number, since it uses more digits than its factorization.

466036963561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6238 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 55.

The spelling of 466036963561 in words is "four hundred sixty-six billion, thirty-six million, nine hundred sixty-three thousand, five hundred sixty-one".