48080404344096 has 336 divisors, whose sum is σ = 143040716967456. Its totient is φ = 15900870924288.

The previous prime is 48080404343999. The next prime is 48080404344151. The reversal of 48080404344096 is 69044340408084.

48080404344096 is a `hidden beast` number, since 4 + 8 + 0 + 80 + 4 + 0 + 434 + 40 + 96 = 666.

It is a super-3 number, since 3×48080404344096³ (a number of 42 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2254850491 + ... + 2254871813.

It is an arithmetic number, because the mean of its divisors is an integer number (425716419546).

Almost surely, 2^{48080404344096} 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 48080404344096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71520358483728).

48080404344096 is an abundant number, since it is smaller than the sum of its proper divisors (94960312623360).

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

48080404344096 is a wasteful number, since it uses less digits than its factorization.

48080404344096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22107 (or 22084 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 48080404344096 in words is "forty-eight trillion, eighty billion, four hundred four million, three hundred forty-four thousand, ninety-six".