1301808512928 has 768 divisors, whose sum is σ = 4447921766400. Its totient is φ = 330412723200.

The previous prime is 1301808512911. The next prime is 1301808512929. The reversal of 1301808512928 is 8292158081031.

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

It is not an unprimeable number, because it can be changed into a prime (1301808512929) 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 127 ways as a sum of consecutive naturals, for example, 5734839151 + ... + 5734839377.

It is an arithmetic number, because the mean of its divisors is an integer number (5791564800).

Almost surely, 2^{1301808512928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301808512928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223960883200).

1301808512928 is an abundant number, since it is smaller than the sum of its proper divisors (3146113253472).

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

1301808512928 is a wasteful number, since it uses less digits than its factorization.

1301808512928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 48.

The spelling of 1301808512928 in words is "one trillion, three hundred one billion, eight hundred eight million, five hundred twelve thousand, nine hundred twenty-eight".