20648496956064 has 96 divisors (see below), whose sum is σ = 56701365336000. Its totient is φ = 6570824730624.

The previous prime is 20648496955951. The next prime is 20648496956071. The reversal of 20648496956064 is 46065969484602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 20648496956064.

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 15 ways as a sum of consecutive naturals, for example, 41419894 + ... + 41915445.

It is an arithmetic number, because the mean of its divisors is an integer number (590639222250).

Almost surely, 2^{20648496956064} is an apocalyptic number.

20648496956064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20648496956064 is an abundant number, since it is smaller than the sum of its proper divisors (36052868379936).

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

20648496956064 is a wasteful number, since it uses less digits than its factorization.

20648496956064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83335470 (or 83335462 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 69.

The spelling of 20648496956064 in words is "twenty trillion, six hundred forty-eight billion, four hundred ninety-six million, nine hundred fifty-six thousand, sixty-four".