48446460969984 has 528 divisors, whose sum is σ = 176862554459136. Its totient is φ = 12406251110400.

The previous prime is 48446460969953. The next prime is 48446460970031. The reversal of 48446460969984 is 48996906464484.

48446460969984 is a `hidden beast` number, since 4 + 8 + 4 + 4 + 6 + 460 + 9 + 69 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49903099 + ... + 50864645.

Almost surely, 2^{48446460969984} is an apocalyptic number.

48446460969984 is a gapful number since it is divisible by the number (44) 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 48446460969984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88431277229568).

48446460969984 is an abundant number, since it is smaller than the sum of its proper divisors (128416093489152).

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

48446460969984 is a wasteful number, since it uses less digits than its factorization.

48446460969984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961662 (or 961641 counting only the distinct ones).

The product of its (nonzero) digits is 10319560704, while the sum is 81.

The spelling of 48446460969984 in words is "forty-eight trillion, four hundred forty-six billion, four hundred sixty million, nine hundred sixty-nine thousand, nine hundred eighty-four".