180441222903552 has 1728 divisors, whose sum is σ = 604236299304960. Its totient is φ = 47481923174400.

The previous prime is 180441222903547. The next prime is 180441222903563. The reversal of 180441222903552 is 255309222144081.

180441222903552 is digitally balanced in base 2, 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72089979933 + ... + 72089982435.

It is an arithmetic number, because the mean of its divisors is an integer number (349673784320).

Almost surely, 2^{180441222903552} is an apocalyptic number.

180441222903552 is a gapful number since it is divisible by the number (12) 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 180441222903552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302118149652480).

180441222903552 is an abundant number, since it is smaller than the sum of its proper divisors (423795076401408).

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

180441222903552 is a wasteful number, since it uses less digits than its factorization.

180441222903552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 180441222903552 in words is "one hundred eighty trillion, four hundred forty-one billion, two hundred twenty-two million, nine hundred three thousand, five hundred fifty-two".