13354113600 has 441 divisors, whose sum is σ = 49731400537. Its totient is φ = 3527815680.

The previous prime is 13354113557. The next prime is 13354113607. The reversal of 13354113600 is 631145331.

The square root of 13354113600 is 115560.

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

13354113600 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 41 + 13 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4807480896 + 8546632704 = 69336^2 + 92448^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13354113607) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 124804747 + ... + 124804853.

Almost surely, 2^13354113600 is an apocalyptic number.

13354113600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13354113600 is the 115560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13354113600

13354113600 is an abundant number, since it is smaller than the sum of its proper divisors (36377286937).

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

13354113600 is an frugal number, since it uses more digits than its factorization.

13354113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 13354113600 its reverse (631145331), we get a palindrome (13985258931).

The spelling of 13354113600 in words is "thirteen billion, three hundred fifty-four million, one hundred thirteen thousand, six hundred".