13048388496 has 280 divisors, whose sum is σ = 44536899456. Its totient is φ = 3649432320.

The previous prime is 13048388461. The next prime is 13048388593. The reversal of 13048388496 is 69488384031.

13048388496 is a `hidden beast` number, since 1 + 30 + 48 + 3 + 88 + 496 = 666.

13048388496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 55 ways as a sum of consecutive naturals, for example, 1664041 + ... + 1671863.

Almost surely, 2^13048388496 is an apocalyptic number.

13048388496 is a gapful number since it is divisible by the number (16) 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 13048388496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22268449728).

13048388496 is an abundant number, since it is smaller than the sum of its proper divisors (31488510960).

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

13048388496 is a wasteful number, since it uses less digits than its factorization.

13048388496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7873 (or 7852 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 13048388496 in words is "thirteen billion, forty-eight million, three hundred eighty-eight thousand, four hundred ninety-six".