4678144107 has 128 divisors (see below), whose sum is σ = 8212807680. Its totient is φ = 2303562240.

The previous prime is 4678144103. The next prime is 4678144117. The reversal of 4678144107 is 7014418764.

It is not a de Polignac number, because 4678144107 - 2² = 4678144103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4678144103) 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 127 ways as a sum of consecutive naturals, for example, 33655644 + ... + 33655782.

It is an arithmetic number, because the mean of its divisors is an integer number (64162560).

Almost surely, 2^4678144107 is an apocalyptic number.

4678144107 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

4678144107 is a deficient number, since it is larger than the sum of its proper divisors (3534663573).

4678144107 is a wasteful number, since it uses less digits than its factorization.

4678144107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313.

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 4678144107 is about 68396.9597789258. The cubic root of 4678144107 is about 1672.4681859437.

It can be divided in two parts, 4678 and 144107, that added together give a triangular number (148785 = T₅₄₅).

The spelling of 4678144107 in words is "four billion, six hundred seventy-eight million, one hundred forty-four thousand, one hundred seven".