1353473616564 has 144 divisors (see below), whose sum is σ = 3792059421696. Its totient is φ = 405133747200.

The previous prime is 1353473616497. The next prime is 1353473616589. The reversal of 1353473616564 is 4656163743531.

1353473616564 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 4 + 73 + 6 + 1 + 6 + 564 = 666.

It is a super-3 number, since 3×1353473616564³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1353473616564.

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, 844614 + ... + 1849410.

It is an arithmetic number, because the mean of its divisors is an integer number (26333745984).

Almost surely, 2^{1353473616564} 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 1353473616564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896029710848).

1353473616564 is an abundant number, since it is smaller than the sum of its proper divisors (2438585805132).

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

1353473616564 is a wasteful number, since it uses less digits than its factorization.

1353473616564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004926 (or 1004921 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 1353473616564 in words is "one trillion, three hundred fifty-three billion, four hundred seventy-three million, six hundred sixteen thousand, five hundred sixty-four".