1335645696 has 320 divisors, whose sum is σ = 4638560256. Its totient is φ = 331161600.

The previous prime is 1335645683. The next prime is 1335645697. The reversal of 1335645696 is 6965465331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335645697) by changing a digit.

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, 2720011 + ... + 2720501.

Almost surely, 2^1335645696 is an apocalyptic number.

1335645696 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 1335645696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319280128).

1335645696 is an abundant number, since it is smaller than the sum of its proper divisors (3302914560).

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

1335645696 is a wasteful number, since it uses less digits than its factorization.

1335645696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 537 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 48.

The square root of 1335645696 is about 36546.4867805375. The cubic root of 1335645696 is about 1101.2783199380.

The spelling of 1335645696 in words is "one billion, three hundred thirty-five million, six hundred forty-five thousand, six hundred ninety-six".