20048128316832 has 768 divisors, whose sum is σ = 72111346384896. Its totient is φ = 4716527616000.

The previous prime is 20048128316831. The next prime is 20048128316893. The reversal of 20048128316832 is 23861382184002.

It is a super-2 number, since 2×20048128316832² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20048128316831) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 705086488 + ... + 705114920.

It is an arithmetic number, because the mean of its divisors is an integer number (93894982272).

Almost surely, 2^{20048128316832} is an apocalyptic number.

20048128316832 is a gapful number since it is divisible by the number (22) 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 20048128316832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36055673192448).

20048128316832 is an abundant number, since it is smaller than the sum of its proper divisors (52063218068064).

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

20048128316832 is a wasteful number, since it uses less digits than its factorization.

20048128316832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28693 (or 28685 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 20048128316832 in words is "twenty trillion, forty-eight billion, one hundred twenty-eight million, three hundred sixteen thousand, eight hundred thirty-two".