48340106817024 has 320 divisors, whose sum is σ = 142028968992768. Its totient is φ = 14488243200000.

The previous prime is 48340106816993. The next prime is 48340106817029. The reversal of 48340106817024 is 42071860104384.

48340106817024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 6952705²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48340106817029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432240149 + ... + 1432273899.

Almost surely, 2^{48340106817024} is an apocalyptic number.

48340106817024 is a gapful number since it is divisible by the number (44) 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 48340106817024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71014484496384).

48340106817024 is an abundant number, since it is smaller than the sum of its proper divisors (93688862175744).

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

48340106817024 is a wasteful number, since it uses less digits than its factorization.

48340106817024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34709 (or 34693 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 48340106817024 in words is "forty-eight trillion, three hundred forty billion, one hundred six million, eight hundred seventeen thousand, twenty-four".