13790302848 has 144 divisors (see below), whose sum is σ = 46162084410. Its totient is φ = 3940070400.

The previous prime is 13790302843. The next prime is 13790302909. The reversal of 13790302848 is 84820309731.

13790302848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13790274624 + 28224 = 117432^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13790302848² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13790302843) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 65703 + ... + 178598.

Almost surely, 2^13790302848 is an apocalyptic number.

13790302848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13790302848 is an abundant number, since it is smaller than the sum of its proper divisors (32371781562).

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

13790302848 is a wasteful number, since it uses less digits than its factorization.

13790302848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244335 (or 244313 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13790302848 in words is "thirteen billion, seven hundred ninety million, three hundred two thousand, eight hundred forty-eight".