1353236747616 has 144 divisors (see below), whose sum is σ = 4148390269296. Its totient is φ = 415968334848.

The previous prime is 1353236747609. The next prime is 1353236747633. The reversal of 1353236747616 is 6167476323531.

It is a happy number.

1353236747616 is a `hidden beast` number, since 1 + 3 + 532 + 3 + 6 + 7 + 47 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3614271 + ... + 3971073.

It is an arithmetic number, because the mean of its divisors is an integer number (28808265759).

Almost surely, 2^{1353236747616} is an apocalyptic number.

1353236747616 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 1353236747616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074195134648).

1353236747616 is an abundant number, since it is smaller than the sum of its proper divisors (2795153521680).

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

1353236747616 is a wasteful number, since it uses less digits than its factorization.

1353236747616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357845 (or 357834 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 1353236747616 in words is "one trillion, three hundred fifty-three billion, two hundred thirty-six million, seven hundred forty-seven thousand, six hundred sixteen".