242748963072 has 576 divisors, whose sum is σ = 923916779520. Its totient is φ = 61013606400.

The previous prime is 242748963029. The next prime is 242748963091. The reversal of 242748963072 is 270369847242.

242748963072 is a `hidden beast` number, since 242 + 7 + 4 + 8 + 96 + 307 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16491588 + ... + 16506300.

Almost surely, 2^242748963072 is an apocalyptic number.

242748963072 is a gapful number since it is divisible by the number (22) 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 242748963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461958389760).

242748963072 is an abundant number, since it is smaller than the sum of its proper divisors (681167816448).

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

242748963072 is a wasteful number, since it uses less digits than its factorization.

242748963072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14787 (or 14767 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 242748963072 in words is "two hundred forty-two billion, seven hundred forty-eight million, nine hundred sixty-three thousand, seventy-two".