48431847633216 has 224 divisors, whose sum is σ = 134020167515136. Its totient is φ = 15406718976000.

The previous prime is 48431847633203. The next prime is 48431847633251. The reversal of 48431847633216 is 61233674813484.

It is a self number, because there is not a number n which added to its sum of digits gives 48431847633216.

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, 4446955131 + ... + 4446966021.

It is an arithmetic number, because the mean of its divisors is an integer number (598304319264).

Almost surely, 2^{48431847633216} is an apocalyptic number.

48431847633216 is a gapful number since it is divisible by the number (46) 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 48431847633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67010083757568).

48431847633216 is an abundant number, since it is smaller than the sum of its proper divisors (85588319881920).

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

48431847633216 is a wasteful number, since it uses less digits than its factorization.

48431847633216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13141 (or 13131 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 60.

The spelling of 48431847633216 in words is "forty-eight trillion, four hundred thirty-one billion, eight hundred forty-seven million, six hundred thirty-three thousand, two hundred sixteen".