13402287648 has 192 divisors, whose sum is σ = 40007761920. Its totient is φ = 4363704576.

The previous prime is 13402287607. The next prime is 13402287673. The reversal of 13402287648 is 84678220431.

It is a happy number.

13402287648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7350865 + ... + 7352687.

It is an arithmetic number, because the mean of its divisors is an integer number (208373760).

Almost surely, 2^13402287648 is an apocalyptic number.

13402287648 is a gapful number since it is divisible by the number (18) 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 13402287648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20003880960).

13402287648 is an abundant number, since it is smaller than the sum of its proper divisors (26605474272).

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

13402287648 is a wasteful number, since it uses less digits than its factorization.

13402287648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 13402287648 in words is "thirteen billion, four hundred two million, two hundred eighty-seven thousand, six hundred forty-eight".