13451676800 has 48 divisors (see below), whose sum is σ = 33229853250. Its totient is φ = 5380669440.

The previous prime is 13451676773. The next prime is 13451676803. The reversal of 13451676800 is 867615431.

It can be written as a sum of positive squares in 3 ways, for example, as 11153049664 + 2298627136 = 105608^2 + 47944^2 .

It is not an unprimeable number, because it can be changed into a prime (13451676803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2098625 + ... + 2105024.

Almost surely, 2^13451676800 is an apocalyptic number.

13451676800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13451676800 is an abundant number, since it is smaller than the sum of its proper divisors (19778176450).

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

13451676800 is an equidigital number, since it uses as much as digits as its factorization.

13451676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203673 (or 4203656 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 13451676800 in words is "thirteen billion, four hundred fifty-one million, six hundred seventy-six thousand, eight hundred".