11630379069261 has 20 divisors (see below), whose sum is σ = 17374338885244. Its totient is φ = 7753334904000.

The previous prime is 11630379069227. The next prime is 11630379069263. The reversal of 11630379069261 is 16296097303611.

11630379069261 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 0 + 379 + 0 + 6 + 9 + 261 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1475481513636 + 10154897555625 = 1214694^2 + 3186675^2 .

It is not a de Polignac number, because 11630379069261 - 2¹⁰ = 11630379068237 is a prime.

It is a super-2 number, since 2×11630379069261² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11630379069198 and 11630379069207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11630379069263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207711 + ... + 4827411.

Almost surely, 2^{11630379069261} is an apocalyptic number.

It is an amenable number.

11630379069261 is a deficient number, since it is larger than the sum of its proper divisors (5743959815983).

11630379069261 is an equidigital number, since it uses as much as digits as its factorization.

11630379069261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650794 (or 4650785 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 11630379069261 in words is "eleven trillion, six hundred thirty billion, three hundred seventy-nine million, sixty-nine thousand, two hundred sixty-one".