118452744446400 has 2688 divisors, whose sum is σ = 538106892288000. Its totient is φ = 24681367388160.

The previous prime is 118452744446389. The next prime is 118452744446429. The reversal of 118452744446400 is 4644447254811.

118452744446400 is a `hidden beast` number, since 1 + 1 + 8 + 452 + 74 + 44 + 46 + 40 + 0 = 666.

118452744446400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 130598394747 + ... + 130598395653.

It is an arithmetic number, because the mean of its divisors is an integer number (200188576000).

Almost surely, 2^{118452744446400} is an apocalyptic number.

118452744446400 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 118452744446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269053446144000).

118452744446400 is an abundant number, since it is smaller than the sum of its proper divisors (419654147841600).

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

118452744446400 is a wasteful number, since it uses less digits than its factorization.

118452744446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 118452744446400 in words is "one hundred eighteen trillion, four hundred fifty-two billion, seven hundred forty-four million, four hundred forty-six thousand, four hundred".