1356768336 has 160 divisors (see below), whose sum is σ = 4471999488. Its totient is φ = 344171520.

The previous prime is 1356768319. The next prime is 1356768373. The reversal of 1356768336 is 6338676531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154660 + ... + 163196.

Almost surely, 2^1356768336 is an apocalyptic number.

1356768336 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 1356768336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235999744).

1356768336 is an abundant number, since it is smaller than the sum of its proper divisors (3115231152).

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

1356768336 is a wasteful number, since it uses less digits than its factorization.

1356768336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8609 (or 8603 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The square root of 1356768336 is about 36834.3363724664. The cubic root of 1356768336 is about 1107.0533909158.

The spelling of 1356768336 in words is "one billion, three hundred fifty-six million, seven hundred sixty-eight thousand, three hundred thirty-six".