20346214500 has 384 divisors, whose sum is σ = 69155573760. Its totient is φ = 5158080000.

The previous prime is 20346214423. The next prime is 20346214519. The reversal of 20346214500 is 541264302.

20346214500 is a `hidden beast` number, since 2 + 0 + 34 + 621 + 4 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25528102 + ... + 25528898.

It is an arithmetic number, because the mean of its divisors is an integer number (180092640).

Almost surely, 2^20346214500 is an apocalyptic number.

20346214500 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 20346214500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34577786880).

20346214500 is an abundant number, since it is smaller than the sum of its proper divisors (48809359260).

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

20346214500 is a wasteful number, since it uses less digits than its factorization.

20346214500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20346214500 its reverse (541264302), we get a palindrome (20887478802).

The spelling of 20346214500 in words is "twenty billion, three hundred forty-six million, two hundred fourteen thousand, five hundred".