242398111051008 has 576 divisors, whose sum is σ = 798919413062400. Its totient is φ = 71879703920640.

The previous prime is 242398111050983. The next prime is 242398111051099. The reversal of 242398111051008 is 800150111893242.

242398111051008 is a `hidden beast` number, since 2 + 4 + 23 + 98 + 11 + 10 + 510 + 0 + 8 = 666.

242398111051008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 656199610 + ... + 656568902.

It is an arithmetic number, because the mean of its divisors is an integer number (1387012869900).

Almost surely, 2^{242398111051008} 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 242398111051008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399459706531200).

242398111051008 is an abundant number, since it is smaller than the sum of its proper divisors (556521302011392).

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

242398111051008 is a wasteful number, since it uses less digits than its factorization.

242398111051008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369515 (or 369495 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 242398111051008 in words is "two hundred forty-two trillion, three hundred ninety-eight billion, one hundred eleven million, fifty-one thousand, eight".