11214049280 has 416 divisors, whose sum is σ = 33969715200. Its totient is φ = 3464626176.

The previous prime is 11214049267. The next prime is 11214049309. The reversal of 11214049280 is 8294041211.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62648231 + ... + 62648409.

Almost surely, 2^11214049280 is an apocalyptic number.

11214049280 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 11214049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16984857600).

11214049280 is an abundant number, since it is smaller than the sum of its proper divisors (22755665920).

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

11214049280 is a wasteful number, since it uses less digits than its factorization.

11214049280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 11214049280 in words is "eleven billion, two hundred fourteen million, forty-nine thousand, two hundred eighty".