118329048169920 has 1008 divisors, whose sum is σ = 476430591244608. Its totient is φ = 26876979118080.

The previous prime is 118329048169897. The next prime is 118329048169933. The reversal of 118329048169920 is 29961840923811.

118329048169920 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 2 + 9 + 0 + 481 + 69 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 17106986302 + ... + 17106993218.

It is an arithmetic number, because the mean of its divisors is an integer number (472649396076).

Almost surely, 2^{118329048169920} is an apocalyptic number.

118329048169920 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 118329048169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238215295622304).

118329048169920 is an abundant number, since it is smaller than the sum of its proper divisors (358101543074688).

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

118329048169920 is a wasteful number, since it uses less digits than its factorization.

118329048169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 118329048169920 in words is "one hundred eighteen trillion, three hundred twenty-nine billion, forty-eight million, one hundred sixty-nine thousand, nine hundred twenty".