11209274928384 has 576 divisors, whose sum is σ = 34669680460800. Its totient is φ = 3185559207936.

The previous prime is 11209274928373. The next prime is 11209274928407. The reversal of 11209274928384 is 48382947290211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6272676739 + ... + 6272678525.

Almost surely, 2^{11209274928384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11209274928384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17334840230400).

11209274928384 is an abundant number, since it is smaller than the sum of its proper divisors (23460405532416).

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

11209274928384 is a wasteful number, since it uses less digits than its factorization.

11209274928384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 11209274928384 in words is "eleven trillion, two hundred nine billion, two hundred seventy-four million, nine hundred twenty-eight thousand, three hundred eighty-four".