288401166144 has 1680 divisors, whose sum is σ = 1148981492736. Its totient is φ = 69872025600.

The previous prime is 288401166133. The next prime is 288401166173. The reversal of 288401166144 is 441661104882.

288401166144 is a `hidden beast` number, since 2 + 88 + 401 + 166 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 288401166144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7034174764 + ... + 7034174804.

Almost surely, 2^288401166144 is an apocalyptic number.

288401166144 is a gapful number since it is divisible by the number (24) 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 288401166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574490746368).

288401166144 is an abundant number, since it is smaller than the sum of its proper divisors (860580326592).

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

288401166144 is a wasteful number, since it uses less digits than its factorization.

288401166144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 288401166144 in words is "two hundred eighty-eight billion, four hundred one million, one hundred sixty-six thousand, one hundred forty-four".