242623088160 has 384 divisors, whose sum is σ = 806418353664. Its totient is φ = 61198663680.

The previous prime is 242623088041. The next prime is 242623088167. The reversal of 242623088160 is 61880326242.

242623088160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242623088167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 611141082 + ... + 611141478.

It is an arithmetic number, because the mean of its divisors is an integer number (2100047796).

Almost surely, 2^242623088160 is an apocalyptic number.

242623088160 is a gapful number since it is divisible by the number (20) 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 242623088160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403209176832).

242623088160 is an abundant number, since it is smaller than the sum of its proper divisors (563795265504).

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

242623088160 is a wasteful number, since it uses less digits than its factorization.

242623088160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 242623088160 in words is "two hundred forty-two billion, six hundred twenty-three million, eighty-eight thousand, one hundred sixty".