242023505472 has 336 divisors, whose sum is σ = 827683863552. Its totient is φ = 68686963200.

The previous prime is 242023505453. The next prime is 242023505473. The reversal of 242023505472 is 274505320242.

242023505472 is a `hidden beast` number, since 2 + 42 + 0 + 23 + 50 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242023505473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16431103 + ... + 16445825.

It is an arithmetic number, because the mean of its divisors is an integer number (2463344832).

Almost surely, 2^242023505472 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 242023505472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413841931776).

242023505472 is an abundant number, since it is smaller than the sum of its proper divisors (585660358080).

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

242023505472 is a wasteful number, since it uses less digits than its factorization.

242023505472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14908 (or 14886 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 242023505472 in words is "two hundred forty-two billion, twenty-three million, five hundred five thousand, four hundred seventy-two".