20352114624 has 224 divisors, whose sum is σ = 57596958720. Its totient is φ = 6330175488.

The previous prime is 20352114619. The next prime is 20352114647. The reversal of 20352114624 is 42641125302.

It is a super-2 number, since 2×20352114624² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20352114591 and 20352114600.

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 31 ways as a sum of consecutive naturals, for example, 45941347 + ... + 45941789.

It is an arithmetic number, because the mean of its divisors is an integer number (257129280).

Almost surely, 2^20352114624 is an apocalyptic number.

20352114624 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 20352114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28798479360).

20352114624 is an abundant number, since it is smaller than the sum of its proper divisors (37244844096).

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

20352114624 is a wasteful number, since it uses less digits than its factorization.

20352114624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 20352114624 its reverse (42641125302), we get a palindrome (62993239926).

The spelling of 20352114624 in words is "twenty billion, three hundred fifty-two million, one hundred fourteen thousand, six hundred twenty-four".