48736833408 has 256 divisors, whose sum is σ = 147403872000. Its totient is φ = 15848110080.

The previous prime is 48736833403. The next prime is 48736833421. The reversal of 48736833408 is 80433863784.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48736833403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25238203 + ... + 25240133.

It is an arithmetic number, because the mean of its divisors is an integer number (575796375).

Almost surely, 2^48736833408 is an apocalyptic number.

48736833408 is a gapful number since it is divisible by the number (48) 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 48736833408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73701936000).

48736833408 is an abundant number, since it is smaller than the sum of its proper divisors (98667038592).

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

48736833408 is a wasteful number, since it uses less digits than its factorization.

48736833408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 48736833408 in words is "forty-eight billion, seven hundred thirty-six million, eight hundred thirty-three thousand, four hundred eight".