6461224641 has 12 divisors (see below), whose sum is σ = 9585120532. Its totient is φ = 4191064416.

The previous prime is 6461224619. The next prime is 6461224661. The reversal of 6461224641 is 1464221646.

6461224641 is a `hidden beast` number, since 6 + 4 + 6 + 1 + 2 + 2 + 4 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2356131600 + 4105093041 = 48540^2 + 64071^2 .

It is not a de Polignac number, because 6461224641 - 2⁶ = 6461224577 is a prime.

It is a super-2 number, since 2×6461224641² = 83494847722931157762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6461224596 and 6461224605.

It is not an unprimeable number, because it can be changed into a prime (6461224661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9701206 + ... + 9701871.

Almost surely, 2^6461224641 is an apocalyptic number.

It is an amenable number.

6461224641 is a deficient number, since it is larger than the sum of its proper divisors (3123895891).

6461224641 is a wasteful number, since it uses less digits than its factorization.

6461224641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19403120 (or 19403117 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 6461224641 is about 80381.7432070243. The cubic root of 6461224641 is about 1862.5371627856.

It can be divided in two parts, 64612 and 24641, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 6461224641 in words is "six billion, four hundred sixty-one million, two hundred twenty-four thousand, six hundred forty-one".