20413345335152 has 160 divisors (see below), whose sum is σ = 49393300055040. Its totient is φ = 7939851171840.

The previous prime is 20413345335139. The next prime is 20413345335193. The reversal of 20413345335152 is 25153354331402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3754520978 + ... + 3754526414.

It is an arithmetic number, because the mean of its divisors is an integer number (308708125344).

Almost surely, 2^{20413345335152} is an apocalyptic number.

20413345335152 is a gapful number since it is divisible by the number (22) 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 20413345335152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24696650027520).

20413345335152 is an abundant number, since it is smaller than the sum of its proper divisors (28979954719888).

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

20413345335152 is a wasteful number, since it uses less digits than its factorization.

20413345335152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10039 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 41.

Adding to 20413345335152 its reverse (25153354331402), we get a palindrome (45566699666554).

The spelling of 20413345335152 in words is "twenty trillion, four hundred thirteen billion, three hundred forty-five million, three hundred thirty-five thousand, one hundred fifty-two".