13945478400 has 1134 divisors, whose sum is σ = 61188428742. Its totient is φ = 3135283200.

The previous prime is 13945478389. The next prime is 13945478401. The reversal of 13945478400 is 487454931.

13945478400 is a `hidden beast` number, since 13 + 94 + 547 + 8 + 4 + 0 + 0 = 666.

13945478400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 36578304 + 13908900096 = 6048^2 + 117936^2 .

It is a tau number, because it is divible by the number of its divisors (1134).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13945478401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 228614370 + ... + 228614430.

Almost surely, 2^13945478400 is an apocalyptic number.

13945478400 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 13945478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30594214371).

13945478400 is an abundant number, since it is smaller than the sum of its proper divisors (47242950342).

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

13945478400 is an frugal number, since it uses more digits than its factorization.

13945478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13945478400 in words is "thirteen billion, nine hundred forty-five million, four hundred seventy-eight thousand, four hundred".