118822201344 has 1152 divisors, whose sum is σ = 460107648000. Its totient is φ = 29634232320.

The previous prime is 118822201313. The next prime is 118822201361. The reversal of 118822201344 is 443102228811.

118822201344 is a `hidden beast` number, since 1 + 18 + 82 + 220 + 1 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 118822201299 and 118822201308.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2013935587 + ... + 2013935645.

It is an arithmetic number, because the mean of its divisors is an integer number (399399000).

Almost surely, 2^118822201344 is an apocalyptic number.

118822201344 is a gapful number since it is divisible by the number (14) 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 118822201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230053824000).

118822201344 is an abundant number, since it is smaller than the sum of its proper divisors (341285446656).

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

118822201344 is a wasteful number, since it uses less digits than its factorization.

118822201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 118822201344 in words is "one hundred eighteen billion, eight hundred twenty-two million, two hundred one thousand, three hundred forty-four".