4148608235520 has 1536 divisors, whose sum is σ = 16690680115200. Its totient is φ = 858154598400.

The previous prime is 4148608235491. The next prime is 4148608235531. The reversal of 4148608235520 is 255328068414.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4148608235520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13339576165 + ... + 13339576475.

It is an arithmetic number, because the mean of its divisors is an integer number (10866328200).

Almost surely, 2^{4148608235520} is an apocalyptic number.

4148608235520 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 4148608235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8345340057600).

4148608235520 is an abundant number, since it is smaller than the sum of its proper divisors (12542071879680).

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

4148608235520 is a wasteful number, since it uses less digits than its factorization.

4148608235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 4148608235520 in words is "four trillion, one hundred forty-eight billion, six hundred eight million, two hundred thirty-five thousand, five hundred twenty".