118144346297040 has 640 divisors, whose sum is σ = 481198237056000. Its totient is φ = 26068630339584.

The previous prime is 118144346296993. The next prime is 118144346297111. The reversal of 118144346297040 is 40792643441811.

It is a happy number.

118144346297040 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 4 + 4 + 3 + 4 + 629 + 7 + 0 + 4 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 2880354612 + ... + 2880395628.

It is an arithmetic number, because the mean of its divisors is an integer number (751872245400).

Almost surely, 2^{118144346297040} is an apocalyptic number.

118144346297040 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 118144346297040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240599118528000).

118144346297040 is an abundant number, since it is smaller than the sum of its proper divisors (363053890758960).

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

118144346297040 is a wasteful number, since it uses less digits than its factorization.

118144346297040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47644 (or 47632 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 118144346297040 in words is "one hundred eighteen trillion, one hundred forty-four billion, three hundred forty-six million, two hundred ninety-seven thousand, forty".