11046305101314 has 144 divisors (see below), whose sum is σ = 26834032465344. Its totient is φ = 3020435671680.

The previous prime is 11046305101301. The next prime is 11046305101319. The reversal of 11046305101314 is 41310150364011.

It is not an unprimeable number, because it can be changed into a prime (11046305101319) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40340587 + ... + 40613489.

It is an arithmetic number, because the mean of its divisors is an integer number (186347447676).

Almost surely, 2^{11046305101314} is an apocalyptic number.

11046305101314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11046305101314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13417016232672).

11046305101314 is an abundant number, since it is smaller than the sum of its proper divisors (15787727364030).

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

11046305101314 is a wasteful number, since it uses less digits than its factorization.

11046305101314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273081 (or 273013 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 11046305101314 its reverse (41310150364011), we get a palindrome (52356455465325).

The spelling of 11046305101314 in words is "eleven trillion, forty-six billion, three hundred five million, one hundred one thousand, three hundred fourteen".