48863603076288 has 672 divisors, whose sum is σ = 176752106995968. Its totient is φ = 11711108505600.

The previous prime is 48863603076209. The next prime is 48863603076289. The reversal of 48863603076288 is 88267030636884.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (48863603076289) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4785383503 + ... + 4785393713.

It is an arithmetic number, because the mean of its divisors is an integer number (263023968744).

Almost surely, 2^{48863603076288} is an apocalyptic number.

48863603076288 is a gapful number since it is divisible by the number (48) 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 48863603076288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88376053497984).

48863603076288 is an abundant number, since it is smaller than the sum of its proper divisors (127888503919680).

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

48863603076288 is a wasteful number, since it uses less digits than its factorization.

48863603076288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13821 (or 13804 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 69.

The spelling of 48863603076288 in words is "forty-eight trillion, eight hundred sixty-three billion, six hundred three million, seventy-six thousand, two hundred eighty-eight".