1348115382504 has 768 divisors, whose sum is σ = 4379797094400. Its totient is φ = 384758035200.

The previous prime is 1348115382499. The next prime is 1348115382583. The reversal of 1348115382504 is 4052835118431.

1348115382504 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 11 + 53 + 82 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1348115382504.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5640650017 + ... + 5640650255.

It is an arithmetic number, because the mean of its divisors is an integer number (5702860800).

Almost surely, 2^{1348115382504} 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 1348115382504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189898547200).

1348115382504 is an abundant number, since it is smaller than the sum of its proper divisors (3031681711896).

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

1348115382504 is a wasteful number, since it uses less digits than its factorization.

1348115382504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1348115382504 in words is "one trillion, three hundred forty-eight billion, one hundred fifteen million, three hundred eighty-two thousand, five hundred four".