48159138804336 has 480 divisors, whose sum is σ = 160857334471680. Its totient is φ = 13513756359168.

The previous prime is 48159138804319. The next prime is 48159138804341. The reversal of 48159138804336 is 63340883195184.

48159138804336 is a `hidden beast` number, since 4 + 8 + 1 + 5 + 91 + 38 + 80 + 433 + 6 = 666.

48159138804336 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19442525530 + ... + 19442528006.

It is an arithmetic number, because the mean of its divisors is an integer number (335119446816).

Almost surely, 2^{48159138804336} 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 48159138804336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80428667235840).

48159138804336 is an abundant number, since it is smaller than the sum of its proper divisors (112698195667344).

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

48159138804336 is a wasteful number, since it uses less digits than its factorization.

48159138804336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 48159138804336 in words is "forty-eight trillion, one hundred fifty-nine billion, one hundred thirty-eight million, eight hundred four thousand, three hundred thirty-six".