48344079809280 has 576 divisors, whose sum is σ = 163751667287040. Its totient is φ = 12121306103808.

The previous prime is 48344079809191. The next prime is 48344079809339. The reversal of 48344079809280 is 8290897044384.

It is a happy number.

It is a super-2 number, since 2×48344079809280² (a number of 28 digits) contains 22 as substring.

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, 8931103854 + ... + 8931109266.

It is an arithmetic number, because the mean of its divisors is an integer number (284291089040).

Almost surely, 2^{48344079809280} is an apocalyptic number.

48344079809280 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 48344079809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81875833643520).

48344079809280 is an abundant number, since it is smaller than the sum of its proper divisors (115407587477760).

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

48344079809280 is a wasteful number, since it uses less digits than its factorization.

48344079809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 48344079809280 in words is "forty-eight trillion, three hundred forty-four billion, seventy-nine million, eight hundred nine thousand, two hundred eighty".