48620884224 has 288 divisors, whose sum is σ = 151307541504. Its totient is φ = 13710090240.

The previous prime is 48620884223. The next prime is 48620884229. The reversal of 48620884224 is 42248802684.

It is a super-2 number, since 2×48620884224² (a number of 22 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 (48620884223) 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 31 ways as a sum of consecutive naturals, for example, 7185867 + ... + 7192629.

It is an arithmetic number, because the mean of its divisors is an integer number (525373408).

Almost surely, 2^48620884224 is an apocalyptic number.

48620884224 is a gapful number since it is divisible by the number (44) 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 48620884224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75653770752).

48620884224 is an abundant number, since it is smaller than the sum of its proper divisors (102686657280).

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

48620884224 is a wasteful number, since it uses less digits than its factorization.

48620884224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

The spelling of 48620884224 in words is "forty-eight billion, six hundred twenty million, eight hundred eighty-four thousand, two hundred twenty-four".