11456945280 has 768 divisors, whose sum is σ = 47048601600. Its totient is φ = 2538086400.

The previous prime is 11456945273. The next prime is 11456945329. The reversal of 11456945280 is 8254965411.

11456945280 is a `hidden beast` number, since 1 + 1 + 4 + 569 + 4 + 5 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37318887 + ... + 37319193.

It is an arithmetic number, because the mean of its divisors is an integer number (61261200).

Almost surely, 2^11456945280 is an apocalyptic number.

11456945280 is a gapful number since it is divisible by the number (10) 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 11456945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23524300800).

11456945280 is an abundant number, since it is smaller than the sum of its proper divisors (35591656320).

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

11456945280 is a wasteful number, since it uses less digits than its factorization.

11456945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11456945280 in words is "eleven billion, four hundred fifty-six million, nine hundred forty-five thousand, two hundred eighty".