118945273880160 has 2880 divisors, whose sum is σ = 579020247590400. Its totient is φ = 22375817478144.

The previous prime is 118945273880123. The next prime is 118945273880197. The reversal of 118945273880160 is 61088372549811.

118945273880160 is a `hidden beast` number, since 1 + 1 + 8 + 94 + 5 + 2 + 7 + 388 + 0 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (118945273880123) and next prime (118945273880197).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4952120631 + ... + 4952144649.

It is an arithmetic number, because the mean of its divisors is an integer number (201048697080).

It is a 1-persistent number, because it is pandigital, but 2⋅118945273880160 = 237890547760320 is not.

Almost surely, 2^{118945273880160} is an apocalyptic number.

118945273880160 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 118945273880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289510123795200).

118945273880160 is an abundant number, since it is smaller than the sum of its proper divisors (460074973710240).

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

118945273880160 is a wasteful number, since it uses less digits than its factorization.

118945273880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24115 (or 24085 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 118945273880160 in words is "one hundred eighteen trillion, nine hundred forty-five billion, two hundred seventy-three million, eight hundred eighty thousand, one hundred sixty".