13481769600 has 480 divisors, whose sum is σ = 53591062140. Its totient is φ = 3317760000.

The previous prime is 13481769577. The next prime is 13481769611. The reversal of 13481769600 is 696718431.

It is a happy number.

13481769600 is a `hidden beast` number, since 1 + 34 + 8 + 1 + 7 + 6 + 9 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 326597184 + 13155172416 = 18072^2 + 114696^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×13481769600² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3367600 + ... + 3371600.

Almost surely, 2^13481769600 is an apocalyptic number.

13481769600 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 13481769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26795531070).

13481769600 is an abundant number, since it is smaller than the sum of its proper divisors (40109292540).

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

13481769600 is a wasteful number, since it uses less digits than its factorization.

13481769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13481769600 in words is "thirteen billion, four hundred eighty-one million, seven hundred sixty-nine thousand, six hundred".