242148767040576 has 672 divisors, whose sum is σ = 834323958374400. Its totient is φ = 66326335488000.

The previous prime is 242148767040547. The next prime is 242148767040601. The reversal of 242148767040576 is 675040767841242.

It is a happy number.

242148767040576 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 487 + 67 + 0 + 40 + 57 + 6 = 666.

It is a super-2 number, since 2×242148767040576² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264508240 + ... + 265422128.

Almost surely, 2^{242148767040576} 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 242148767040576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417161979187200).

242148767040576 is an abundant number, since it is smaller than the sum of its proper divisors (592175191333824).

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

242148767040576 is a wasteful number, since it uses less digits than its factorization.

242148767040576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914039 (or 914026 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 242148767040576 in words is "two hundred forty-two trillion, one hundred forty-eight billion, seven hundred sixty-seven million, forty thousand, five hundred seventy-six".