6461461677303 has 24 divisors (see below), whose sum is σ = 9344330451456. Its totient is φ = 4302515178000.

The previous prime is 6461461677259. The next prime is 6461461677329. The reversal of 6461461677303 is 3037761641646.

6461461677303 is a `hidden beast` number, since 6 + 4 + 6 + 14 + 616 + 7 + 7 + 3 + 0 + 3 = 666.

It is not a de Polignac number, because 6461461677303 - 2¹² = 6461461673207 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6461461677303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461461657303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117772828 + ... + 117827678.

It is an arithmetic number, because the mean of its divisors is an integer number (389347102144).

Almost surely, 2^{6461461677303} is an apocalyptic number.

6461461677303 is a deficient number, since it is larger than the sum of its proper divisors (2882868774153).

6461461677303 is a wasteful number, since it uses less digits than its factorization.

6461461677303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70195 (or 70192 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 6461461677303 in words is "six trillion, four hundred sixty-one billion, four hundred sixty-one million, six hundred seventy-seven thousand, three hundred three".