4678001401137 has 64 divisors (see below), whose sum is σ = 6600656004096. Its totient is φ = 2943149126400.

The previous prime is 4678001401091. The next prime is 4678001401169. The reversal of 4678001401137 is 7311041008764.

It is not a de Polignac number, because 4678001401137 - 2¹⁰ = 4678001400113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4678001401037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1478974518 + ... + 1478977680.

It is an arithmetic number, because the mean of its divisors is an integer number (103135250064).

Almost surely, 2^{4678001401137} is an apocalyptic number.

It is an amenable number.

4678001401137 is a deficient number, since it is larger than the sum of its proper divisors (1922654602959).

4678001401137 is a wasteful number, since it uses less digits than its factorization.

4678001401137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310.

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 4678001401137 in words is "four trillion, six hundred seventy-eight billion, one million, four hundred one thousand, one hundred thirty-seven".