4813816410657 has 64 divisors (see below), whose sum is σ = 7397044416000. Its totient is φ = 3090348382464.

The previous prime is 4813816410647. The next prime is 4813816410703. The reversal of 4813816410657 is 7560146183184.

4813816410657 is a `hidden beast` number, since 48 + 138 + 1 + 6 + 410 + 6 + 57 = 666.

It is not a de Polignac number, because 4813816410657 - 2¹² = 4813816406561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4813816410647) 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 63 ways as a sum of consecutive naturals, for example, 598803844 + ... + 598811882.

It is an arithmetic number, because the mean of its divisors is an integer number (115578819000).

Almost surely, 2^{4813816410657} is an apocalyptic number.

It is an amenable number.

4813816410657 is a deficient number, since it is larger than the sum of its proper divisors (2583228005343).

4813816410657 is a wasteful number, since it uses less digits than its factorization.

4813816410657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007 (or 10001 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 4813816410657 in words is "four trillion, eight hundred thirteen billion, eight hundred sixteen million, four hundred ten thousand, six hundred fifty-seven".