113676440400 has 180 divisors, whose sum is σ = 394735774108. Its totient is φ = 30294743040.

The previous prime is 113676440377. The next prime is 113676440401. The reversal of 113676440400 is 4044676311.

113676440400 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 7 + 644 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4133975616 + 109542464784 = 64296^2 + 330972^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113676440401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6301794 + ... + 6319806.

Almost surely, 2^113676440400 is an apocalyptic number.

113676440400 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 113676440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197367887054).

113676440400 is an abundant number, since it is smaller than the sum of its proper divisors (281059333708).

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

113676440400 is a wasteful number, since it uses less digits than its factorization.

113676440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19790 (or 19776 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 113676440400 in words is "one hundred thirteen billion, six hundred seventy-six million, four hundred forty thousand, four hundred".