77144107624461 has 12 divisors (see below), whose sum is σ = 111430455530940. Its totient is φ = 51429369151680.

The previous prime is 77144107624457. The next prime is 77144107624469. The reversal of 77144107624461 is 16442670144177.

77144107624461 is a `hidden beast` number, since 7 + 7 + 1 + 4 + 4 + 1 + 0 + 7 + 624 + 4 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7090471886436 + 70053635738025 = 2662794^2 + 8369805^2 .

It is not a de Polignac number, because 77144107624461 - 2² = 77144107624457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77144107624398 and 77144107624407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77144107624469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19487371 + ... + 23109431.

It is an arithmetic number, because the mean of its divisors is an integer number (9285871294245).

Almost surely, 2^{77144107624461} is an apocalyptic number.

It is an amenable number.

77144107624461 is a deficient number, since it is larger than the sum of its proper divisors (34286347906479).

77144107624461 is a wasteful number, since it uses less digits than its factorization.

77144107624461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988556 (or 5988553 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 77144107624461 in words is "seventy-seven trillion, one hundred forty-four billion, one hundred seven million, six hundred twenty-four thousand, four hundred sixty-one".