20314800000 has 1152 divisors, whose sum is σ = 87013180800. Its totient is φ = 4665600000.

The previous prime is 20314799969. The next prime is 20314800017. The reversal of 20314800000 is 841302.

It is a happy number.

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

It is a super-3 number, since 3×20314800000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1069199991 + ... + 1069200009.

It is an arithmetic number, because the mean of its divisors is an integer number (75532275).

Almost surely, 2^20314800000 is an apocalyptic number.

20314800000 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 20314800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43506590400).

20314800000 is an abundant number, since it is smaller than the sum of its proper divisors (66698380800).

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

20314800000 is an frugal number, since it uses more digits than its factorization.

20314800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 20314800000 in words is "twenty billion, three hundred fourteen million, eight hundred thousand".