11280462336 has 960 divisors, whose sum is σ = 43433470080. Its totient is φ = 2760376320.

The previous prime is 11280462257. The next prime is 11280462383. The reversal of 11280462336 is 63326408211.

11280462336 is a `hidden beast` number, since 1 + 1 + 28 + 0 + 4 + 623 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11280462336.

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 95 ways as a sum of consecutive naturals, for example, 212838886 + ... + 212838938.

It is an arithmetic number, because the mean of its divisors is an integer number (45243198).

Almost surely, 2^11280462336 is an apocalyptic number.

11280462336 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 11280462336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21716735040).

11280462336 is an abundant number, since it is smaller than the sum of its proper divisors (32153007744).

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

11280462336 is a wasteful number, since it uses less digits than its factorization.

11280462336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 11280462336 in words is "eleven billion, two hundred eighty million, four hundred sixty-two thousand, three hundred thirty-six".