11227413374304 has 96 divisors (see below), whose sum is σ = 29793138723936. Its totient is φ = 3701731491840.

The previous prime is 11227413374267. The next prime is 11227413374321. The reversal of 11227413374304 is 40347331472211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11227413374304² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15675664 + ... + 16376240.

It is an arithmetic number, because the mean of its divisors is an integer number (310345195041).

Almost surely, 2^{11227413374304} 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 11227413374304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14896569361968).

11227413374304 is an abundant number, since it is smaller than the sum of its proper divisors (18565725349632).

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

11227413374304 is a wasteful number, since it uses less digits than its factorization.

11227413374304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702408 (or 702400 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 11227413374304 in words is "eleven trillion, two hundred twenty-seven billion, four hundred thirteen million, three hundred seventy-four thousand, three hundred four".