13698361600 has 729 divisors, whose sum is σ = 45754526601. Its totient is φ = 4044902400.

The previous prime is 13698361571. The next prime is 13698361603. The reversal of 13698361600 is 616389631.

The square root of 13698361600 is 117040.

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

It can be written as a sum of positive squares in only one way, i.e., 4931410176 + 8766951424 = 70224^2 + 93632^2 .

It is a super-2 number, since 2×13698361600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13698361603) 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 80 ways as a sum of consecutive naturals, for example, 720966391 + ... + 720966409.

Almost surely, 2^13698361600 is an apocalyptic number.

13698361600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13698361600 is the 117040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13698361600

13698361600 is an abundant number, since it is smaller than the sum of its proper divisors (32056165001).

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

13698361600 is a wasteful number, since it uses less digits than its factorization.

13698361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 13698361600 in words is "thirteen billion, six hundred ninety-eight million, three hundred sixty-one thousand, six hundred".