1348701039504 has 320 divisors, whose sum is σ = 4779907955200. Its totient is φ = 354561712128.

The previous prime is 1348701039493. The next prime is 1348701039509. The reversal of 1348701039504 is 4059301078431.

1348701039504 is a `hidden beast` number, since 1 + 3 + 48 + 70 + 1 + 0 + 39 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1348701039504.

It is not an unprimeable number, because it can be changed into a prime (1348701039509) 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 63 ways as a sum of consecutive naturals, for example, 12249852 + ... + 12359460.

It is an arithmetic number, because the mean of its divisors is an integer number (14937212360).

Almost surely, 2^{1348701039504} is an apocalyptic number.

1348701039504 is a gapful number since it is divisible by the number (14) 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 1348701039504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389953977600).

1348701039504 is an abundant number, since it is smaller than the sum of its proper divisors (3431206915696).

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

1348701039504 is a wasteful number, since it uses less digits than its factorization.

1348701039504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109959 (or 109947 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1348701039504 in words is "one trillion, three hundred forty-eight billion, seven hundred one million, thirty-nine thousand, five hundred four".