20342016000 has 672 divisors, whose sum is σ = 76805328600. Its totient is φ = 5374771200.

The previous prime is 20342015933. The next prime is 20342016001. The reversal of 20342016000 is 61024302.

It is a happy number.

20342016000 is a `hidden beast` number, since 20 + 3 + 42 + 0 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7919576064 + 12422439936 = 88992^2 + 111456^2 .

It is a super-2 number, since 2×20342016000² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20342016001) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 186623946 + ... + 186624054.

Almost surely, 2^20342016000 is an apocalyptic number.

20342016000 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 20342016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38402664300).

20342016000 is an abundant number, since it is smaller than the sum of its proper divisors (56463312600).

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

20342016000 is an frugal number, since it uses more digits than its factorization.

20342016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 20342016000 in words is "twenty billion, three hundred forty-two million, sixteen thousand".