242122853862504 has 24 divisors (see below), whose sum is σ = 655749395877810. Its totient is φ = 80707617954144.

The previous prime is 242122853862503. The next prime is 242122853862509. The reversal of 242122853862504 is 405268358221242.

242122853862504 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 2 + 2 + 8 + 5 + 3 + 8 + 625 + 0 + 4 = 666.

242122853862504 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 242022426984900 + 100426877604 = 15557070^2 + 316902^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (242122853862503) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1681408707307 + ... + 1681408707450.

Almost surely, 2^{242122853862504} is an apocalyptic number.

242122853862504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242122853862504 is an abundant number, since it is smaller than the sum of its proper divisors (413626542015306).

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

242122853862504 is a wasteful number, since it uses less digits than its factorization.

242122853862504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362817414769 (or 3362817414762 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 242122853862504 in words is "two hundred forty-two trillion, one hundred twenty-two billion, eight hundred fifty-three million, eight hundred sixty-two thousand, five hundred four".