13435036384 has 72 divisors (see below), whose sum is σ = 33565823928. Its totient is φ = 5234423040.

The previous prime is 13435036361. The next prime is 13435036397. The reversal of 13435036384 is 48363053431.

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 11 ways as a sum of consecutive naturals, for example, 372219 + ... + 406714.

It is an arithmetic number, because the mean of its divisors is an integer number (466191999).

Almost surely, 2^13435036384 is an apocalyptic number.

13435036384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13435036384 is an abundant number, since it is smaller than the sum of its proper divisors (20130787544).

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

13435036384 is a wasteful number, since it uses less digits than its factorization.

13435036384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778968 (or 778953 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 13435036384 in words is "thirteen billion, four hundred thirty-five million, thirty-six thousand, three hundred eighty-four".