20344348800 has 960 divisors, whose sum is σ = 84019399200. Its totient is φ = 4837294080.

The previous prime is 20344348763. The next prime is 20344348853. The reversal of 20344348800 is 884344302.

20344348800 is a `hidden beast` number, since 203 + 443 + 4 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×20344348800² (a number of 21 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1070755191 + ... + 1070755209.

Almost surely, 2^20344348800 is an apocalyptic number.

20344348800 is a gapful number since it is divisible by the number (20) 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 20344348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42009699600).

20344348800 is an abundant number, since it is smaller than the sum of its proper divisors (63675050400).

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

20344348800 is an frugal number, since it uses more digits than its factorization.

20344348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 20344348800 in words is "twenty billion, three hundred forty-four million, three hundred forty-eight thousand, eight hundred".