48049039374336 has 2304 divisors, whose sum is σ = 193364620001280. Its totient is φ = 11093421588480.

The previous prime is 48049039374257. The next prime is 48049039374361. The reversal of 48049039374336 is 63347393094084.

48049039374336 is a `hidden beast` number, since 4 + 80 + 4 + 90 + 3 + 9 + 37 + 433 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 191 ways as a sum of consecutive naturals, for example, 58100409955 + ... + 58100410781.

It is an arithmetic number, because the mean of its divisors is an integer number (83925616320).

Almost surely, 2^{48049039374336} 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 48049039374336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96682310000640).

48049039374336 is an abundant number, since it is smaller than the sum of its proper divisors (145315580626944).

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

48049039374336 is a wasteful number, since it uses less digits than its factorization.

48049039374336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 63.

The spelling of 48049039374336 in words is "forty-eight trillion, forty-nine billion, thirty-nine million, three hundred seventy-four thousand, three hundred thirty-six".