930682748961 has 45 divisors (see below), whose sum is σ = 1617369142851. Its totient is φ = 531783983808.

The previous prime is 930682748953. The next prime is 930682748987. The reversal of 930682748961 is 169847286039.

The square root of 930682748961 is 964719.

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

930682748961 is a `hidden beast` number, since 9 + 30 + 68 + 2 + 7 + 489 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121550625 + 930561198336 = 11025^2 + 964656^2 .

It is not a de Polignac number, because 930682748961 - 2³ = 930682748953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (930682748911) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 60769641 + ... + 60784953.

Almost surely, 2^930682748961 is an apocalyptic number.

930682748961 is the 964719-th square number.

930682748961 is the 482360-th centered octagonal number.

It is an amenable number.

930682748961 is a deficient number, since it is larger than the sum of its proper divisors (686686393890).

930682748961 is an frugal number, since it uses more digits than its factorization.

930682748961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30652 (or 15323 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 930682748961 in words is "nine hundred thirty billion, six hundred eighty-two million, seven hundred forty-eight thousand, nine hundred sixty-one".