15782245248 has 384 divisors, whose sum is σ = 54691257600. Its totient is φ = 3917168640.

The previous prime is 15782245243. The next prime is 15782245249. The reversal of 15782245248 is 84254228751.

15782245248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 15782245197 and 15782245206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15782245243) 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 47 ways as a sum of consecutive naturals, for example, 15640968 + ... + 15641976.

It is an arithmetic number, because the mean of its divisors is an integer number (142425150).

Almost surely, 2^15782245248 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 15782245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27345628800).

15782245248 is an abundant number, since it is smaller than the sum of its proper divisors (38909012352).

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

15782245248 is a wasteful number, since it uses less digits than its factorization.

15782245248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1055 counting only the distinct ones).

The product of its digits is 1433600, while the sum is 48.

The spelling of 15782245248 in words is "fifteen billion, seven hundred eighty-two million, two hundred forty-five thousand, two hundred forty-eight".