2461663345401 has 48 divisors (see below), whose sum is σ = 3904225845520. Its totient is φ = 1485497180160.

The previous prime is 2461663345399. The next prime is 2461663345459. The reversal of 2461663345401 is 1045433661642.

2461663345401 is a `hidden beast` number, since 2 + 4 + 6 + 1 + 6 + 633 + 4 + 5 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 796594176 + 2460866751225 = 28224^2 + 1568715^2 .

It is not a de Polignac number, because 2461663345401 - 2¹ = 2461663345399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2461663345201) 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, 242061 + ... + 2232021.

Almost surely, 2^{2461663345401} is an apocalyptic number.

It is an amenable number.

2461663345401 is a deficient number, since it is larger than the sum of its proper divisors (1442562500119).

2461663345401 is a wasteful number, since it uses less digits than its factorization.

2461663345401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990186 (or 1990183 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2461663345401 in words is "two trillion, four hundred sixty-one billion, six hundred sixty-three million, three hundred forty-five thousand, four hundred one".