1352613074496 has 112 divisors (see below), whose sum is σ = 3602588379264. Its totient is φ = 447876222976.

The previous prime is 1352613074471. The next prime is 1352613074497. The reversal of 1352613074496 is 6944703162531.

It is not an unprimeable number, because it can be changed into a prime (1352613074497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51706156 + ... + 51732308.

It is an arithmetic number, because the mean of its divisors is an integer number (32165967672).

Almost surely, 2^{1352613074496} is an apocalyptic number.

1352613074496 is a gapful number since it is divisible by the number (16) 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 1352613074496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801294189632).

1352613074496 is an abundant number, since it is smaller than the sum of its proper divisors (2249975304768).

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

1352613074496 is a wasteful number, since it uses less digits than its factorization.

1352613074496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27948 (or 27938 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 1352613074496 in words is "one trillion, three hundred fifty-two billion, six hundred thirteen million, seventy-four thousand, four hundred ninety-six".