3503275249248 has 144 divisors (see below), whose sum is σ = 10286162804736. Its totient is φ = 1129830024960.

The previous prime is 3503275249241. The next prime is 3503275249289. The reversal of 3503275249248 is 8429425723053.

3503275249248 is a `hidden beast` number, since 3 + 5 + 0 + 3 + 27 + 524 + 92 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3503275249194 and 3503275249203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3503275249241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41052961 + ... + 41138207.

It is an arithmetic number, because the mean of its divisors is an integer number (71431686144).

Almost surely, 2^{3503275249248} 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 3503275249248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143081402368).

3503275249248 is an abundant number, since it is smaller than the sum of its proper divisors (6782887555488).

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

3503275249248 is a wasteful number, since it uses less digits than its factorization.

3503275249248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89897 (or 89886 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3503275249248 in words is "three trillion, five hundred three billion, two hundred seventy-five million, two hundred forty-nine thousand, two hundred forty-eight".