120178141544448 has 600 divisors, whose sum is σ = 389261579414400. Its totient is φ = 36728930304000.

The previous prime is 120178141544443. The next prime is 120178141544473. The reversal of 120178141544448 is 844445141871021.

120178141544448 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 7 + 8 + 141 + 54 + 4 + 448 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120178141544394 and 120178141544403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120178141544443) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2570577073 + ... + 2570623823.

It is an arithmetic number, because the mean of its divisors is an integer number (648769299024).

Almost surely, 2^{120178141544448} is an apocalyptic number.

120178141544448 is a gapful number since it is divisible by the number (18) 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 120178141544448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194630789707200).

120178141544448 is an abundant number, since it is smaller than the sum of its proper divisors (269083437869952).

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

120178141544448 is an equidigital number, since it uses as much as digits as its factorization.

120178141544448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46953 (or 46918 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 120178141544448 in words is "one hundred twenty trillion, one hundred seventy-eight billion, one hundred forty-one million, five hundred forty-four thousand, four hundred forty-eight".