48404884040832 has 256 divisors, whose sum is σ = 141711868569600. Its totient is φ = 14516872704000.

The previous prime is 48404884040803. The next prime is 48404884040957. The reversal of 48404884040832 is 23804048840484.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083175993 + ... + 1083220679.

It is an arithmetic number, because the mean of its divisors is an integer number (553561986600).

Almost surely, 2^{48404884040832} 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 48404884040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70855934284800).

48404884040832 is an abundant number, since it is smaller than the sum of its proper divisors (93306984528768).

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

48404884040832 is a wasteful number, since it uses less digits than its factorization.

48404884040832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47355 (or 47343 counting only the distinct ones).

The product of its (nonzero) digits is 25165824, while the sum is 57.

The spelling of 48404884040832 in words is "forty-eight trillion, four hundred four billion, eight hundred eighty-four million, forty thousand, eight hundred thirty-two".