20823137307648 has 264 divisors, whose sum is σ = 65717926533168. Its totient is φ = 6311488094208.

The previous prime is 20823137307631. The next prime is 20823137307653. The reversal of 20823137307648 is 84670373132802.

20823137307648 is a `hidden beast` number, since 208 + 2 + 3 + 1 + 373 + 0 + 7 + 64 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20823137307594 and 20823137307603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6730090 + ... + 9324182.

Almost surely, 2^{20823137307648} 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 20823137307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32858963266584).

20823137307648 is an abundant number, since it is smaller than the sum of its proper divisors (44894789225520).

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

20823137307648 is a wasteful number, since it uses less digits than its factorization.

20823137307648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594199 (or 2594178 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 20823137307648 in words is "twenty trillion, eight hundred twenty-three billion, one hundred thirty-seven million, three hundred seven thousand, six hundred forty-eight".