11456450280 has 192 divisors, whose sum is σ = 43007889600. Its totient is φ = 2613934080.

The previous prime is 11456450233. The next prime is 11456450323. The reversal of 11456450280 is 8205465411.

It is a happy number.

11456450280 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 645 + 0 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×11456450280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17770 + ... + 152409.

It is an arithmetic number, because the mean of its divisors is an integer number (223999425).

Almost surely, 2^11456450280 is an apocalyptic number.

11456450280 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 11456450280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21503944800).

11456450280 is an abundant number, since it is smaller than the sum of its proper divisors (31551439320).

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

11456450280 is a wasteful number, since it uses less digits than its factorization.

11456450280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170224 (or 170217 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 11456450280 in words is "eleven billion, four hundred fifty-six million, four hundred fifty thousand, two hundred eighty".