13335700608 has 96 divisors (see below), whose sum is σ = 38399912460. Its totient is φ = 4442333184.

The previous prime is 13335700607. The next prime is 13335700627. The reversal of 13335700608 is 80600753331.

13335700608 is a `hidden beast` number, since 13 + 3 + 35 + 7 + 0 + 0 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9886722624 + 3448977984 = 99432^2 + 58728^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13335700603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2459116 + ... + 2464532.

Almost surely, 2^13335700608 is an apocalyptic number.

13335700608 is a gapful number since it is divisible by the number (18) 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 13335700608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19199956230).

13335700608 is an abundant number, since it is smaller than the sum of its proper divisors (25064211852).

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

13335700608 is a wasteful number, since it uses less digits than its factorization.

13335700608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7574 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13335700608 in words is "thirteen billion, three hundred thirty-five million, seven hundred thousand, six hundred eight".