20351214157824 has 855 divisors, whose sum is σ = 67591616385601. Its totient is φ = 6097742069760.

The previous prime is 20351214157801. The next prime is 20351214157829. The reversal of 20351214157824 is 42875141215302.

It is a happy number.

The square root of 20351214157824 is 4511232.

It is a perfect power (a square), and thus also a powerful number.

20351214157824 is a `hidden beast` number, since 2 + 0 + 3 + 5 + 12 + 1 + 41 + 578 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3907864756224 + 16443349401600 = 1976832^2 + 4055040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20351214157824.

It is not an unprimeable number, because it can be changed into a prime (20351214157829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 228665327572 + ... + 228665327660.

Almost surely, 2^{20351214157824} is an apocalyptic number.

20351214157824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20351214157824 is the 4511232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20351214157824

20351214157824 is an abundant number, since it is smaller than the sum of its proper divisors (47240402227777).

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

20351214157824 is an frugal number, since it uses more digits than its factorization.

20351214157824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 20351214157824 in words is "twenty trillion, three hundred fifty-one billion, two hundred fourteen million, one hundred fifty-seven thousand, eight hundred twenty-four".