4677134008107 has 48 divisors (see below), whose sum is σ = 6878040144416. Its totient is φ = 2824965158400.

The previous prime is 4677134008103. The next prime is 4677134008111. The reversal of 4677134008107 is 7018004317764.

It is an interprime number because it is at equal distance from previous prime (4677134008103) and next prime (4677134008111).

It is not a de Polignac number, because 4677134008107 - 2² = 4677134008103 is a prime.

It is a super-4 number, since 4×4677134008107⁴ (a number of 52 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4677134008103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152349183 + ... + 152379879.

Almost surely, 2^{4677134008107} is an apocalyptic number.

4677134008107 is a deficient number, since it is larger than the sum of its proper divisors (2200906136309).

4677134008107 is a wasteful number, since it uses less digits than its factorization.

4677134008107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32140 (or 32129 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 4677134008107 in words is "four trillion, six hundred seventy-seven billion, one hundred thirty-four million, eight thousand, one hundred seven".