11226140314416 has 80 divisors (see below), whose sum is σ = 33334324725600. Its totient is φ = 3613010671872.

The previous prime is 11226140314397. The next prime is 11226140314423. The reversal of 11226140314416 is 61441304162211.

11226140314416 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 614 + 0 + 31 + 4 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448029471 + ... + 448054526.

It is an arithmetic number, because the mean of its divisors is an integer number (416679059070).

Almost surely, 2^{11226140314416} is an apocalyptic number.

11226140314416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11226140314416 is an abundant number, since it is smaller than the sum of its proper divisors (22108184411184).

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

11226140314416 is a wasteful number, since it uses less digits than its factorization.

11226140314416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896084043 (or 896084031 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 11226140314416 its reverse (61441304162211), we get a palindrome (72667444476627).

The spelling of 11226140314416 in words is "eleven trillion, two hundred twenty-six billion, one hundred forty million, three hundred fourteen thousand, four hundred sixteen".