11648892593 has 16 divisors (see below), whose sum is σ = 13112668800. Its totient is φ = 10267809024.

The previous prime is 11648892569. The next prime is 11648892617. The reversal of 11648892593 is 39529884611.

It is an interprime number because it is at equal distance from previous prime (11648892569) and next prime (11648892617).

It is a cyclic number.

It is not a de Polignac number, because 11648892593 - 2¹⁸ = 11648630449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11648892503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144458 + ... + 210156.

It is an arithmetic number, because the mean of its divisors is an integer number (819541800).

Almost surely, 2^11648892593 is an apocalyptic number.

11648892593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11648892593 is a deficient number, since it is larger than the sum of its proper divisors (1463776207).

11648892593 is a wasteful number, since it uses less digits than its factorization.

11648892593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66328.

The product of its digits is 3732480, while the sum is 56.

The spelling of 11648892593 in words is "eleven billion, six hundred forty-eight million, eight hundred ninety-two thousand, five hundred ninety-three".