946497440161 has 27 divisors (see below), whose sum is σ = 1192348552563. Its totient is φ = 748807048080.

The previous prime is 946497440111. The next prime is 946497440171. The reversal of 946497440161 is 161044794649.

The square root of 946497440161 is 972881.

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

It can be written as a sum of positive squares in only one way, i.e., 140014414225 + 806483025936 = 374185^2 + 898044^2 .

It is not a de Polignac number, because 946497440161 - 2²³ = 946489051553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (946497440111) 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, 88526826 + ... + 88537516.

Almost surely, 2^946497440161 is an apocalyptic number.

946497440161 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

946497440161 is the 972881-st square number.

946497440161 is the 486441-st centered octagonal number.

It is an amenable number.

946497440161 is a deficient number, since it is larger than the sum of its proper divisors (245851112402).

946497440161 is an frugal number, since it uses more digits than its factorization.

946497440161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21422 (or 10711 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 946497440161 in words is "nine hundred forty-six billion, four hundred ninety-seven million, four hundred forty thousand, one hundred sixty-one".