13454678800 has 30 divisors (see below), whose sum is σ = 32324866778. Its totient is φ = 5381871360.

The previous prime is 13454678771. The next prime is 13454678821. The reversal of 13454678800 is 887645431.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 81144064 + 13373534736 = 9008^2 + 115644^2 .

It is a super-3 number, since 3×13454678800³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16817949 + ... + 16818748.

Almost surely, 2^13454678800 is an apocalyptic number.

13454678800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13454678800 is an abundant number, since it is smaller than the sum of its proper divisors (18870187978).

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

13454678800 is a wasteful number, since it uses less digits than its factorization.

13454678800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33636715 (or 33636704 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 13454678800 in words is "thirteen billion, four hundred fifty-four million, six hundred seventy-eight thousand, eight hundred".