48338483560640 has 448 divisors, whose sum is σ = 146949646964736. Its totient is φ = 14737837621248.

The previous prime is 48338483560637. The next prime is 48338483560687. The reversal of 48338483560640 is 4606538483384.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91143269 + ... + 91672091.

It is an arithmetic number, because the mean of its divisors is an integer number (328012604832).

Almost surely, 2^{48338483560640} is an apocalyptic number.

48338483560640 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 48338483560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73474823482368).

48338483560640 is an abundant number, since it is smaller than the sum of its proper divisors (98611163404096).

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

48338483560640 is a wasteful number, since it uses less digits than its factorization.

48338483560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528976 (or 528966 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 62.

The spelling of 48338483560640 in words is "forty-eight trillion, three hundred thirty-eight billion, four hundred eighty-three million, five hundred sixty thousand, six hundred forty".