48369633660768 has 288 divisors, whose sum is σ = 157013196560640. Its totient is φ = 12962900966400.

The previous prime is 48369633660763. The next prime is 48369633660823. The reversal of 48369633660768 is 86706633696384.

It is a super-3 number, since 3×48369633660768³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48369633660768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48369633660763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6347805 + ... + 11706147.

It is an arithmetic number, because the mean of its divisors is an integer number (545184710280).

Almost surely, 2^{48369633660768} is an apocalyptic number.

48369633660768 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 48369633660768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78506598280320).

48369633660768 is an abundant number, since it is smaller than the sum of its proper divisors (108643562899872).

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

48369633660768 is a wasteful number, since it uses less digits than its factorization.

48369633660768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358490 (or 5358475 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 75.

The spelling of 48369633660768 in words is "forty-eight trillion, three hundred sixty-nine billion, six hundred thirty-three million, six hundred sixty thousand, seven hundred sixty-eight".