1356309172064 has 192 divisors, whose sum is σ = 3348325693440. Its totient is φ = 525391134720.

The previous prime is 1356309172063. The next prime is 1356309172079. The reversal of 1356309172064 is 4602719036531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356309172063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533348777 + ... + 533351319.

It is an arithmetic number, because the mean of its divisors is an integer number (17439196320).

Almost surely, 2^{1356309172064} is an apocalyptic number.

1356309172064 is a gapful number since it is divisible by the number (14) 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 1356309172064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674162846720).

1356309172064 is an abundant number, since it is smaller than the sum of its proper divisors (1992016521376).

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

1356309172064 is a wasteful number, since it uses less digits than its factorization.

1356309172064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The spelling of 1356309172064 in words is "one trillion, three hundred fifty-six billion, three hundred nine million, one hundred seventy-two thousand, sixty-four".