11354105224 has 128 divisors (see below), whose sum is σ = 27217555200. Its totient is φ = 4312535040.

The previous prime is 11354105221. The next prime is 11354105251. The reversal of 11354105224 is 42250145311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11354105192 and 11354105201.

It is not an unprimeable number, because it can be changed into a prime (11354105221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4000734 + ... + 4003570.

It is an arithmetic number, because the mean of its divisors is an integer number (212637150).

Almost surely, 2^11354105224 is an apocalyptic number.

11354105224 is a gapful number since it is divisible by the number (14) 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 11354105224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608777600).

11354105224 is an abundant number, since it is smaller than the sum of its proper divisors (15863449976).

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

11354105224 is a wasteful number, since it uses less digits than its factorization.

11354105224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 11354105224 in words is "eleven billion, three hundred fifty-four million, one hundred five thousand, two hundred twenty-four".