20480214048 has 288 divisors, whose sum is σ = 64276027200. Its totient is φ = 5691119616.

The previous prime is 20480214043. The next prime is 20480214059. The reversal of 20480214048 is 84041208402.

It is a super-4 number, since 4×20480214048⁴ (a number of 42 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (20480214043) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 30251086 + ... + 30251762.

It is an arithmetic number, because the mean of its divisors is an integer number (223180650).

Almost surely, 2^20480214048 is an apocalyptic number.

20480214048 is a gapful number since it is divisible by the number (28) 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 20480214048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32138013600).

20480214048 is an abundant number, since it is smaller than the sum of its proper divisors (43795813152).

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

20480214048 is a wasteful number, since it uses less digits than its factorization.

20480214048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The spelling of 20480214048 in words is "twenty billion, four hundred eighty million, two hundred fourteen thousand, forty-eight".