13818470400 has 1260 divisors, whose sum is σ = 63050401458. Its totient is φ = 2972712960.

The previous prime is 13818470377. The next prime is 13818470431. The reversal of 13818470400 is 407481831.

13818470400 is a `hidden beast` number, since 1 + 3 + 8 + 184 + 70 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11851370496 + 1967099904 = 108864^2 + 44352^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 812851192 + ... + 812851208.

Almost surely, 2^13818470400 is an apocalyptic number.

13818470400 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 13818470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31525200729).

13818470400 is an abundant number, since it is smaller than the sum of its proper divisors (49231931058).

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

13818470400 is an equidigital number, since it uses as much as digits as its factorization.

13818470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 13818470400 in words is "thirteen billion, eight hundred eighteen million, four hundred seventy thousand, four hundred".