242153454500 has 96 divisors (see below), whose sum is σ = 536128879104. Its totient is φ = 95534592000.

The previous prime is 242153454469. The next prime is 242153454503. The reversal of 242153454500 is 5454351242.

242153454500 is digitally balanced in base 2, 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 (242153454503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26596949 + ... + 26606051.

It is an arithmetic number, because the mean of its divisors is an integer number (5584675824).

Almost surely, 2^242153454500 is an apocalyptic number.

242153454500 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 242153454500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268064439552).

242153454500 is an abundant number, since it is smaller than the sum of its proper divisors (293975424604).

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

242153454500 is a wasteful number, since it uses less digits than its factorization.

242153454500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9846 (or 9834 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 242153454500 in words is "two hundred forty-two billion, one hundred fifty-three million, four hundred fifty-four thousand, five hundred".