4801055059161 has 99 divisors (see below), whose sum is σ = 7362368537493. Its totient is φ = 3130775618040.

The previous prime is 4801055059103. The next prime is 4801055059187. The reversal of 4801055059161 is 1619505501084.

The square root of 4801055059161 is 2191131.

It is a perfect power (a square), and thus also a powerful number.

4801055059161 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 0 + 5 + 50 + 591 + 6 + 1 = 666.

It is not a de Polignac number, because 4801055059161 - 2¹³ = 4801055050969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4801055059261) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 37803583080 + ... + 37803583206.

Almost surely, 2^{4801055059161} is an apocalyptic number.

4801055059161 is the 2191131-st square number.

4801055059161 is the 1095566-th centered octagonal number.

It is an amenable number.

4801055059161 is a deficient number, since it is larger than the sum of its proper divisors (2561313478332).

4801055059161 is an frugal number, since it uses more digits than its factorization.

4801055059161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 4801055059161 in words is "four trillion, eight hundred one billion, fifty-five million, fifty-nine thousand, one hundred sixty-one".