20344446093312 has 1152 divisors, whose sum is σ = 71399020492800. Its totient is φ = 5718756556800.

The previous prime is 20344446093263. The next prime is 20344446093353. The reversal of 20344446093312 is 21339064444302.

20344446093312 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 4 + 4 + 4 + 609 + 3 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×20344446093312² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6607483389 + ... + 6607486467.

It is an arithmetic number, because the mean of its divisors is an integer number (61978316400).

Almost surely, 2^{20344446093312} is an apocalyptic number.

20344446093312 is a gapful number since it is divisible by the number (22) 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 20344446093312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35699510246400).

20344446093312 is an abundant number, since it is smaller than the sum of its proper divisors (51054574399488).

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

20344446093312 is a wasteful number, since it uses less digits than its factorization.

20344446093312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 20344446093312 in words is "twenty trillion, three hundred forty-four billion, four hundred forty-six million, ninety-three thousand, three hundred twelve".