11221345314496 has 112 divisors (see below), whose sum is σ = 23146828992000. Its totient is φ = 5393803650048.

The previous prime is 11221345314481. The next prime is 11221345314541. The reversal of 11221345314496 is 69441354312211.

It is a super-2 number, since 2×11221345314496² (a number of 27 digits) contains 22 as substring.

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, 70256295 + ... + 70415833.

It is an arithmetic number, because the mean of its divisors is an integer number (206668116000).

Almost surely, 2^{11221345314496} is an apocalyptic number.

11221345314496 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 11221345314496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11573414496000).

11221345314496 is an abundant number, since it is smaller than the sum of its proper divisors (11925483677504).

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

11221345314496 is a wasteful number, since it uses less digits than its factorization.

11221345314496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160014 (or 160004 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The spelling of 11221345314496 in words is "eleven trillion, two hundred twenty-one billion, three hundred forty-five million, three hundred fourteen thousand, four hundred ninety-six".