20413515604656 has 320 divisors, whose sum is σ = 59094434856960. Its totient is φ = 6042094141440.

The previous prime is 20413515604649. The next prime is 20413515604709. The reversal of 20413515604656 is 65640651531402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 305516980 + ... + 305583788.

It is an arithmetic number, because the mean of its divisors is an integer number (184670108928).

Almost surely, 2^{20413515604656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20413515604656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29547217428480).

20413515604656 is an abundant number, since it is smaller than the sum of its proper divisors (38680919252304).

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

20413515604656 is a wasteful number, since it uses less digits than its factorization.

20413515604656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67172 (or 67166 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 20413515604656 in words is "twenty trillion, four hundred thirteen billion, five hundred fifteen million, six hundred four thousand, six hundred fifty-six".