20014333100032 has 272 divisors, whose sum is σ = 41607178240000. Its totient is φ = 9622671851520.

The previous prime is 20014333100029. The next prime is 20014333100053. The reversal of 20014333100032 is 23000133341002.

It is a junction number, because it is equal to n+sod(n) for n = 20014333099976 and 20014333100012.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 40108883719 + ... + 40108884217.

Almost surely, 2^{20014333100032} 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 20014333100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803589120000).

20014333100032 is an abundant number, since it is smaller than the sum of its proper divisors (21592845139968).

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

20014333100032 is an frugal number, since it uses more digits than its factorization.

20014333100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 20014333100032 its reverse (23000133341002), we get a palindrome (43014466441034).

The spelling of 20014333100032 in words is "twenty trillion, fourteen billion, three hundred thirty-three million, one hundred thousand, thirty-two".