4484846961 has 45 divisors (see below), whose sum is σ = 7800734601. Its totient is φ = 2560358808.

The previous prime is 4484846953. The next prime is 4484846999. The reversal of 4484846961 is 1696484844.

The square root of 4484846961 is 66969.

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

4484846961 is a `hidden beast` number, since 4 + 48 + 484 + 69 + 61 = 666.

It is not a de Polignac number, because 4484846961 - 2³ = 4484846953 is a prime.

It is a super-2 number, since 2×4484846961² = 40227704527181871042, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4484846898 and 4484846907.

It is not an unprimeable number, because it can be changed into a prime (4484846461) 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, 4218516 + ... + 4219578.

Almost surely, 2^4484846961 is an apocalyptic number.

4484846961 is the 66969-th square number.

4484846961 is the 33485-th centered octagonal number.

It is an amenable number.

4484846961 is a deficient number, since it is larger than the sum of its proper divisors (3315887640).

4484846961 is an frugal number, since it uses more digits than its factorization.

4484846961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 1073 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The cubic root of 4484846961 is about 1649.1084208004.

It can be divided in two parts, 44848 and 46961, that added together give a square (91809 = 303²).

The spelling of 4484846961 in words is "four billion, four hundred eighty-four million, eight hundred forty-six thousand, nine hundred sixty-one".