48013282037088 has 432 divisors, whose sum is σ = 149977061816400. Its totient is φ = 14519237246976.

The previous prime is 48013282037057. The next prime is 48013282037089. The reversal of 48013282037088 is 88073028231084.

48013282037088 is a `hidden beast` number, since 48 + 0 + 1 + 328 + 203 + 70 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48013282037089) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2540510263 + ... + 2540529161.

It is an arithmetic number, because the mean of its divisors is an integer number (347169124575).

Almost surely, 2^{48013282037088} is an apocalyptic number.

48013282037088 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 48013282037088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74988530908200).

48013282037088 is an abundant number, since it is smaller than the sum of its proper divisors (101963779779312).

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

48013282037088 is a wasteful number, since it uses less digits than its factorization.

48013282037088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19607 (or 19567 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 48013282037088 in words is "forty-eight trillion, thirteen billion, two hundred eighty-two million, thirty-seven thousand, eighty-eight".