48436167744 has 168 divisors, whose sum is σ = 143521297920. Its totient is φ = 15601766400.

The previous prime is 48436167739. The next prime is 48436167779. The reversal of 48436167744 is 44776163484.

48436167744 is a `hidden beast` number, since 4 + 8 + 436 + 167 + 7 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15729597 + ... + 15732675.

It is an arithmetic number, because the mean of its divisors is an integer number (854293440).

Almost surely, 2^48436167744 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 48436167744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71760648960).

48436167744 is an abundant number, since it is smaller than the sum of its proper divisors (95085130176).

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

48436167744 is a wasteful number, since it uses less digits than its factorization.

48436167744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009 (or 3996 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 48436167744 in words is "forty-eight billion, four hundred thirty-six million, one hundred sixty-seven thousand, seven hundred forty-four".