20113132114944 has 308 divisors, whose sum is σ = 65762598328800. Its totient is φ = 6094886031360.

The previous prime is 20113132114919. The next prime is 20113132114949. The reversal of 20113132114944 is 44941123131102.

20113132114944 is a `hidden beast` number, since 2 + 0 + 1 + 131 + 32 + 1 + 1 + 494 + 4 = 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 = 20113132114899 and 20113132114908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20113132114949) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6986757 + ... + 9436155.

Almost surely, 2^{20113132114944} is an apocalyptic number.

20113132114944 is a gapful number since it is divisible by the number (24) 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 20113132114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32881299164400).

20113132114944 is an abundant number, since it is smaller than the sum of its proper divisors (45649466213856).

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

20113132114944 is an equidigital number, since it uses as much as digits as its factorization.

20113132114944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449448 (or 2449415 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 20113132114944 in words is "twenty trillion, one hundred thirteen billion, one hundred thirty-two million, one hundred fourteen thousand, nine hundred forty-four".