20014648834560 has 640 divisors, whose sum is σ = 70066301184000. Its totient is φ = 4854518710272.

The previous prime is 20014648834493. The next prime is 20014648834571. The reversal of 20014648834560 is 6543884641002.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×20014648834560³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 757457509 + ... + 757483931.

It is an arithmetic number, because the mean of its divisors is an integer number (109478595600).

Almost surely, 2^{20014648834560} is an apocalyptic number.

20014648834560 is a gapful number since it is divisible by the number (20) 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 20014648834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35033150592000).

20014648834560 is an abundant number, since it is smaller than the sum of its proper divisors (50051652349440).

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

20014648834560 is a wasteful number, since it uses less digits than its factorization.

20014648834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26676 (or 26660 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 20014648834560 in words is "twenty trillion, fourteen billion, six hundred forty-eight million, eight hundred thirty-four thousand, five hundred sixty".