20314344960 has 480 divisors, whose sum is σ = 86598832320. Its totient is φ = 4285661184.

The previous prime is 20314344943. The next prime is 20314344971. The reversal of 20314344960 is 6944341302.

It is a happy number.

20314344960 is a `hidden beast` number, since 20 + 3 + 143 + 4 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×20314344960² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2091796 + ... + 2101484.

It is an arithmetic number, because the mean of its divisors is an integer number (180414234).

Almost surely, 2^20314344960 is an apocalyptic number.

20314344960 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 20314344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43299416160).

20314344960 is an abundant number, since it is smaller than the sum of its proper divisors (66284487360).

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

20314344960 is a wasteful number, since it uses less digits than its factorization.

20314344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9738 (or 9719 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 20314344960 in words is "twenty billion, three hundred fourteen million, three hundred forty-four thousand, nine hundred sixty".