180108387251408 has 320 divisors, whose sum is σ = 452153560320000. Its totient is φ = 67439305758720.

The previous prime is 180108387251393. The next prime is 180108387251467. The reversal of 180108387251408 is 804152783801081.

It is a happy number.

180108387251408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7277388218 + ... + 7277412966.

It is an arithmetic number, because the mean of its divisors is an integer number (1412979876000).

Almost surely, 2^{180108387251408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180108387251408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226076780160000).

180108387251408 is an abundant number, since it is smaller than the sum of its proper divisors (272045173068592).

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

180108387251408 is a wasteful number, since it uses less digits than its factorization.

180108387251408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25738 (or 25732 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 56.

The spelling of 180108387251408 in words is "one hundred eighty trillion, one hundred eight billion, three hundred eighty-seven million, two hundred fifty-one thousand, four hundred eight".