1359453393936 has 315 divisors, whose sum is σ = 4243153934253. Its totient is φ = 406312346880.

The previous prime is 1359453393929. The next prime is 1359453393937. The reversal of 1359453393936 is 6393933549531.

It is a happy number.

The square root of 1359453393936 is 1165956.

It is a perfect power (a square), and thus also a powerful number.

1359453393936 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 4 + 533 + 9 + 3 + 93 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 771691971600 + 587761422336 = 878460^2 + 766656^2 .

It is a super-3 number, since 3×1359453393936³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1359453393937) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 18622649196 + ... + 18622649268.

Almost surely, 2^{1359453393936} is an apocalyptic number.

1359453393936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1359453393936 is the 1165956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1359453393936

1359453393936 is an abundant number, since it is smaller than the sum of its proper divisors (2883700540317).

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

1359453393936 is an frugal number, since it uses more digits than its factorization.

1359453393936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 89 counting only the distinct ones).

The product of its digits is 106288200, while the sum is 63.

The spelling of 1359453393936 in words is "one trillion, three hundred fifty-nine billion, four hundred fifty-three million, three hundred ninety-three thousand, nine hundred thirty-six".