242356245264 has 640 divisors, whose sum is σ = 856907059200. Its totient is φ = 64049356800.

The previous prime is 242356245259. The next prime is 242356245269. The reversal of 242356245264 is 462542653242.

242356245264 is a `hidden beast` number, since 2 + 4 + 23 + 562 + 4 + 5 + 2 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (242356245259) and next prime (242356245269).

It is not an unprimeable number, because it can be changed into a prime (242356245269) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 604379464 + ... + 604379864.

It is an arithmetic number, because the mean of its divisors is an integer number (1338917280).

Almost surely, 2^242356245264 is an apocalyptic number.

242356245264 is a gapful number since it is divisible by the number (24) 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 242356245264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428453529600).

242356245264 is an abundant number, since it is smaller than the sum of its proper divisors (614550813936).

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

242356245264 is a wasteful number, since it uses less digits than its factorization.

242356245264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 656 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

The spelling of 242356245264 in words is "two hundred forty-two billion, three hundred fifty-six million, two hundred forty-five thousand, two hundred sixty-four".