20714971705344 has 520 divisors, whose sum is σ = 71718504599808. Its totient is φ = 5835156848640.

The previous prime is 20714971705343. The next prime is 20714971705361. The reversal of 20714971705344 is 44350717941702.

20714971705344 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 4 + 97 + 17 + 0 + 534 + 4 = 666.

It is a super-2 number, since 2×20714971705344² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20714971705343) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 164829859 + ... + 164955485.

Almost surely, 2^{20714971705344} is an apocalyptic number.

20714971705344 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 20714971705344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35859252299904).

20714971705344 is an abundant number, since it is smaller than the sum of its proper divisors (51003532894464).

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

20714971705344 is an equidigital number, since it uses as much as digits as its factorization.

20714971705344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125741 (or 125710 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 20714971705344 in words is "twenty trillion, seven hundred fourteen billion, nine hundred seventy-one million, seven hundred five thousand, three hundred forty-four".