20092118331648 has 1152 divisors, whose sum is σ = 64650313728000. Its totient is φ = 5472114278400.

The previous prime is 20092118331631. The next prime is 20092118331671. The reversal of 20092118331648 is 84613381129002.

It is a super-3 number, since 3×20092118331648³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 20092118331597 and 20092118331606.

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 127 ways as a sum of consecutive naturals, for example, 100965418653 + ... + 100965418851.

It is an arithmetic number, because the mean of its divisors is an integer number (56120064000).

Almost surely, 2^{20092118331648} 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 20092118331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32325156864000).

20092118331648 is an abundant number, since it is smaller than the sum of its proper divisors (44558195396352).

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

20092118331648 is a wasteful number, since it uses less digits than its factorization.

20092118331648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 20092118331648 in words is "twenty trillion, ninety-two billion, one hundred eighteen million, three hundred thirty-one thousand, six hundred forty-eight".