20946615552 has 432 divisors, whose sum is σ = 68702437440. Its totient is φ = 6335594496.

The previous prime is 20946615509. The next prime is 20946615553. The reversal of 20946615552 is 25551664902.

20946615552 is a `hidden beast` number, since 2 + 0 + 94 + 6 + 6 + 1 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 20946615498 and 20946615507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20946615553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30668203 + ... + 30668885.

It is an arithmetic number, because the mean of its divisors is an integer number (159033420).

Almost surely, 2^20946615552 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 20946615552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34351218720).

20946615552 is an abundant number, since it is smaller than the sum of its proper divisors (47755821888).

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

20946615552 is an equidigital number, since it uses as much as digits as its factorization.

20946615552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 20946615552 in words is "twenty billion, nine hundred forty-six million, six hundred fifteen thousand, five hundred fifty-two".