11301645056 has 216 divisors, whose sum is σ = 26820632160. Its totient is φ = 4715200512.

The previous prime is 11301645011. The next prime is 11301645059. The reversal of 11301645056 is 65054610311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11301645059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27632180 + ... + 27632588.

Almost surely, 2^11301645056 is an apocalyptic number.

11301645056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11301645056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13410316080).

11301645056 is an abundant number, since it is smaller than the sum of its proper divisors (15518987104).

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

11301645056 is a wasteful number, since it uses less digits than its factorization.

11301645056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 11301645056 in words is "eleven billion, three hundred one million, six hundred forty-five thousand, fifty-six".