48843600967680 has 384 divisors, whose sum is σ = 159605147520000. Its totient is φ = 12748176359424.

The previous prime is 48843600967673. The next prime is 48843600967723. The reversal of 48843600967680 is 8676900634884.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 414999081 + ... + 415116759.

It is an arithmetic number, because the mean of its divisors is an integer number (415638405000).

Almost surely, 2^{48843600967680} is an apocalyptic number.

48843600967680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48843600967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79802573760000).

48843600967680 is an abundant number, since it is smaller than the sum of its proper divisors (110761546552320).

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

48843600967680 is a wasteful number, since it uses less digits than its factorization.

48843600967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117997 (or 117977 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 69.

The spelling of 48843600967680 in words is "forty-eight trillion, eight hundred forty-three billion, six hundred million, nine hundred sixty-seven thousand, six hundred eighty".