180942851623968 has 432 divisors, whose sum is σ = 621694756073664. Its totient is φ = 51617983173120.

The previous prime is 180942851623957. The next prime is 180942851623969. The reversal of 180942851623968 is 869326158249081.

180942851623968 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 4 + 28 + 516 + 23 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 180942851623896 and 180942851623905.

It is not an unprimeable number, because it can be changed into a prime (180942851623969) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 246155538 + ... + 246889518.

It is an arithmetic number, because the mean of its divisors is an integer number (1439108231652).

Almost surely, 2^{180942851623968} is an apocalyptic number.

180942851623968 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 180942851623968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310847378036832).

180942851623968 is an abundant number, since it is smaller than the sum of its proper divisors (440751904449696).

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

180942851623968 is an equidigital number, since it uses as much as digits as its factorization.

180942851623968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734667 (or 734640 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 180942851623968 in words is "one hundred eighty trillion, nine hundred forty-two billion, eight hundred fifty-one million, six hundred twenty-three thousand, nine hundred sixty-eight".