48810281408 has 336 divisors, whose sum is σ = 124871012640. Its totient is φ = 18785894400.

The previous prime is 48810281407. The next prime is 48810281411. The reversal of 48810281408 is 80418201884.

It is a super-2 number, since 2×48810281408² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48810281407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 202532168 + ... + 202532408.

Almost surely, 2^48810281408 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 48810281408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62435506320).

48810281408 is an abundant number, since it is smaller than the sum of its proper divisors (76060731232).

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

48810281408 is a wasteful number, since it uses less digits than its factorization.

48810281408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 44.

The spelling of 48810281408 in words is "forty-eight billion, eight hundred ten million, two hundred eighty-one thousand, four hundred eight".