11643264456 has 128 divisors (see below), whose sum is σ = 30862909440. Its totient is φ = 3654604800.

The previous prime is 11643264449. The next prime is 11643264461. The reversal of 11643264456 is 65446234611.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11292661 + ... + 11293691.

It is an arithmetic number, because the mean of its divisors is an integer number (241116480).

Almost surely, 2^11643264456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11643264456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15431454720).

11643264456 is an abundant number, since it is smaller than the sum of its proper divisors (19219644984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11643264456 is a wasteful number, since it uses less digits than its factorization.

11643264456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1463 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 11643264456 in words is "eleven billion, six hundred forty-three million, two hundred sixty-four thousand, four hundred fifty-six".