242625346166304 has 72 divisors (see below), whose sum is σ = 689979406874940. Its totient is φ = 80873523744768.

The previous prime is 242625346166299. The next prime is 242625346166341. The reversal of 242625346166304 is 403661643526242.

242625346166304 is a `hidden beast` number, since 2 + 4 + 2 + 62 + 534 + 6 + 16 + 6 + 30 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 217756653296400 + 24868692869904 = 14756580^2 + 4986852^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×242625346166304² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6414744 + ... + 22943400.

Almost surely, 2^{242625346166304} is an apocalyptic number.

242625346166304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242625346166304 is an abundant number, since it is smaller than the sum of its proper divisors (447354060708636).

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

242625346166304 is a wasteful number, since it uses less digits than its factorization.

242625346166304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16579642 (or 16579631 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 242625346166304 in words is "two hundred forty-two trillion, six hundred twenty-five billion, three hundred forty-six million, one hundred sixty-six thousand, three hundred four".