4630874900301 has 48 divisors (see below), whose sum is σ = 7269368470000. Its totient is φ = 2840660679168.

The previous prime is 4630874900243. The next prime is 4630874900329. The reversal of 4630874900301 is 1030094780364.

4630874900301 is a `hidden beast` number, since 4 + 630 + 8 + 7 + 4 + 9 + 0 + 0 + 3 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3469763052900 + 1161111847401 = 1862730^2 + 1077549^2 .

It is not a de Polignac number, because 4630874900301 - 2¹⁴ = 4630874883917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4630874900401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5814825 + ... + 6563073.

Almost surely, 2^{4630874900301} is an apocalyptic number.

It is an amenable number.

4630874900301 is a deficient number, since it is larger than the sum of its proper divisors (2638493569699).

4630874900301 is a wasteful number, since it uses less digits than its factorization.

4630874900301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748607 (or 748578 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 4630874900301 in words is "four trillion, six hundred thirty billion, eight hundred seventy-four million, nine hundred thousand, three hundred one".