11563148746213 has 8 divisors (see below), whose sum is σ = 11627607278232. Its totient is φ = 11498748420096.

The previous prime is 11563148746211. The next prime is 11563148746301. The reversal of 11563148746213 is 31264784136511.

11563148746213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10048285029409 + 1514863716804 = 3169903^2 + 1230798^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 11563148746213 - 2¹ = 11563148746211 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11563148746211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14153020 + ... + 14947717.

It is an arithmetic number, because the mean of its divisors is an integer number (1453450909779).

Almost surely, 2^{11563148746213} is an apocalyptic number.

It is an amenable number.

11563148746213 is a deficient number, since it is larger than the sum of its proper divisors (64458532019).

11563148746213 is a wasteful number, since it uses less digits than its factorization.

11563148746213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29102951.

The product of its digits is 2903040, while the sum is 52.

The spelling of 11563148746213 in words is "eleven trillion, five hundred sixty-three billion, one hundred forty-eight million, seven hundred forty-six thousand, two hundred thirteen".