242948007333504 has 384 divisors, whose sum is σ = 810904989024000. Its totient is φ = 69000053391360.

The previous prime is 242948007333497. The next prime is 242948007333523. The reversal of 242948007333504 is 405333700849242.

It is a happy number.

242948007333504 is a `hidden beast` number, since 2 + 4 + 29 + 4 + 80 + 0 + 7 + 3 + 33 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49126992 + ... + 53845680.

It is an arithmetic number, because the mean of its divisors is an integer number (2111731742250).

Almost surely, 2^{242948007333504} is an apocalyptic number.

242948007333504 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 242948007333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405452494512000).

242948007333504 is an abundant number, since it is smaller than the sum of its proper divisors (567956981690496).

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

242948007333504 is a wasteful number, since it uses less digits than its factorization.

242948007333504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718976 (or 4718961 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 242948007333504 in words is "two hundred forty-two trillion, nine hundred forty-eight billion, seven million, three hundred thirty-three thousand, five hundred four".