949687281361 has 27 divisors (see below), whose sum is σ = 1196366761521. Its totient is φ = 751330760544.

The previous prime is 949687281353. The next prime is 949687281449. The reversal of 949687281361 is 163182786949.

The square root of 949687281361 is 974519.

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 37937300625 + 911749980736 = 194775^2 + 954856^2 .

It is not a de Polignac number, because 949687281361 - 2³ = 949687281353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 949687281293 and 949687281302.

It is not an unprimeable number, because it can be changed into a prime (949687251361) 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 26 ways as a sum of consecutive naturals, for example, 88675875 + ... + 88686583.

Almost surely, 2^949687281361 is an apocalyptic number.

949687281361 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

949687281361 is the 974519-th square number.

949687281361 is the 487260-th centered octagonal number.

It is an amenable number.

949687281361 is a deficient number, since it is larger than the sum of its proper divisors (246679480160).

949687281361 is an frugal number, since it uses more digits than its factorization.

949687281361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21458 (or 10729 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 64.

Multiplying 949687281361 by its sum of digits (64), we get a square (60779986007104 = 7796152²).

The spelling of 949687281361 in words is "nine hundred forty-nine billion, six hundred eighty-seven million, two hundred eighty-one thousand, three hundred sixty-one".