1352665072764 has 144 divisors (see below), whose sum is σ = 3674649888000. Its totient is φ = 418047257088.

The previous prime is 1352665072741. The next prime is 1352665072807. The reversal of 1352665072764 is 4672705662531.

1352665072764 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 66 + 507 + 2 + 76 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1352665072764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11663937 + ... + 11779335.

It is an arithmetic number, because the mean of its divisors is an integer number (25518402000).

Almost surely, 2^{1352665072764} 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 1352665072764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837324944000).

1352665072764 is an abundant number, since it is smaller than the sum of its proper divisors (2321984815236).

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

1352665072764 is a wasteful number, since it uses less digits than its factorization.

1352665072764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115712 (or 115707 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 1352665072764 in words is "one trillion, three hundred fifty-two billion, six hundred sixty-five million, seventy-two thousand, seven hundred sixty-four".