11630157456657 has 8 divisors (see below), whose sum is σ = 15666741316576. Its totient is φ = 7673505950592.

The previous prime is 11630157456653. The next prime is 11630157456719. The reversal of 11630157456657 is 75665475103611.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11630157456657 - 2² = 11630157456653 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11630157456597 and 11630157456606.

It is not an unprimeable number, because it can be changed into a prime (11630157456653) 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 7 ways as a sum of consecutive naturals, for example, 19983088123 + ... + 19983088704.

It is an arithmetic number, because the mean of its divisors is an integer number (1958342664572).

Almost surely, 2^{11630157456657} is an apocalyptic number.

It is an amenable number.

11630157456657 is a deficient number, since it is larger than the sum of its proper divisors (4036583859919).

11630157456657 is an equidigital number, since it uses as much as digits as its factorization.

11630157456657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39966176927.

The product of its (nonzero) digits is 15876000, while the sum is 57.

The spelling of 11630157456657 in words is "eleven trillion, six hundred thirty billion, one hundred fifty-seven million, four hundred fifty-six thousand, six hundred fifty-seven".