13345718400 has 720 divisors, whose sum is σ = 55841884410. Its totient is φ = 3034644480.

The previous prime is 13345718387. The next prime is 13345718401. The reversal of 13345718400 is 481754331.

It is a happy number.

13345718400 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 571 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8199664704 + 5146053696 = 90552^2 + 71736^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×13345718400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13345718401) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 69148704 + ... + 69148896.

Almost surely, 2^13345718400 is an apocalyptic number.

13345718400 is a gapful number since it is divisible by the number (10) 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 13345718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27920942205).

13345718400 is an abundant number, since it is smaller than the sum of its proper divisors (42496166010).

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

13345718400 is an equidigital number, since it uses as much as digits as its factorization.

13345718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13345718400 in words is "thirteen billion, three hundred forty-five million, seven hundred eighteen thousand, four hundred".