20314180657152 has 896 divisors, whose sum is σ = 64999355904000. Its totient is φ = 6328900583424.

The previous prime is 20314180657117. The next prime is 20314180657153. The reversal of 20314180657152 is 25175608141302.

20314180657152 is a `hidden beast` number, since 2 + 0 + 3 + 14 + 18 + 0 + 6 + 571 + 52 = 666.

It is a super-2 number, since 2×20314180657152² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20314180657098 and 20314180657107.

It is not an unprimeable number, because it can be changed into a prime (20314180657153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28253380249 + ... + 28253380967.

It is an arithmetic number, because the mean of its divisors is an integer number (72543924000).

Almost surely, 2^{20314180657152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314180657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32499677952000).

20314180657152 is an abundant number, since it is smaller than the sum of its proper divisors (44685175246848).

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

20314180657152 is an frugal number, since it uses more digits than its factorization.

20314180657152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

Adding to 20314180657152 its reverse (25175608141302), we get a palindrome (45489788798454).

The spelling of 20314180657152 in words is "twenty trillion, three hundred fourteen billion, one hundred eighty million, six hundred fifty-seven thousand, one hundred fifty-two".