1352638068912 has 480 divisors, whose sum is σ = 4284122673600. Its totient is φ = 406144585728.

The previous prime is 1352638068869. The next prime is 1352638068937. The reversal of 1352638068912 is 2198608362531.

1352638068912 is a `hidden beast` number, since 1 + 3 + 526 + 38 + 0 + 6 + 89 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9873270508 + ... + 9873270644.

It is an arithmetic number, because the mean of its divisors is an integer number (8925255570).

Almost surely, 2^{1352638068912} is an apocalyptic number.

1352638068912 is a gapful number since it is divisible by the number (12) 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 1352638068912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142061336800).

1352638068912 is an abundant number, since it is smaller than the sum of its proper divisors (2931484604688).

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

1352638068912 is a wasteful number, since it uses less digits than its factorization.

1352638068912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1352638068912 in words is "one trillion, three hundred fifty-two billion, six hundred thirty-eight million, sixty-eight thousand, nine hundred twelve".