13478486400 has 384 divisors, whose sum is σ = 50026634400. Its totient is φ = 3543367680.

The previous prime is 13478486387. The next prime is 13478486401. The reversal of 13478486400 is 468487431.

13478486400 is a `hidden beast` number, since 134 + 78 + 48 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (13478486401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6306132 + ... + 6308268.

Almost surely, 2^13478486400 is an apocalyptic number.

13478486400 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 13478486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25013317200).

13478486400 is an abundant number, since it is smaller than the sum of its proper divisors (36548148000).

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

13478486400 is a wasteful number, since it uses less digits than its factorization.

13478486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 13478486400 in words is "thirteen billion, four hundred seventy-eight million, four hundred eighty-six thousand, four hundred".