20114434321128 has 96 divisors (see below), whose sum is σ = 62259622988160. Its totient is φ = 5746920347520.

The previous prime is 20114434321099. The next prime is 20114434321129. The reversal of 20114434321128 is 82112343441102.

20114434321128 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 4 + 434 + 3 + 211 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20114434321092 and 20114434321101.

It is not an unprimeable number, because it can be changed into a prime (20114434321129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71544126 + ... + 71824722.

It is an arithmetic number, because the mean of its divisors is an integer number (648537739460).

Almost surely, 2^{20114434321128} is an apocalyptic number.

20114434321128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20114434321128 is an abundant number, since it is smaller than the sum of its proper divisors (42145188667032).

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

20114434321128 is a wasteful number, since it uses less digits than its factorization.

20114434321128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422847 (or 422840 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20114434321128 in words is "twenty trillion, one hundred fourteen billion, four hundred thirty-four million, three hundred twenty-one thousand, one hundred twenty-eight".