242664133036512 has 48 divisors (see below), whose sum is σ = 694901835516672. Its totient is φ = 73534585768320.

The previous prime is 242664133036511. The next prime is 242664133036517. The reversal of 242664133036512 is 215630331466242.

242664133036512 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 (48).

It is a super-2 number, since 2×242664133036512² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242664133036511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114897789208 + ... + 114897791319.

It is an arithmetic number, because the mean of its divisors is an integer number (14477121573264).

Almost surely, 2^{242664133036512} is an apocalyptic number.

242664133036512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242664133036512 is an abundant number, since it is smaller than the sum of its proper divisors (452237702480160).

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

242664133036512 is a wasteful number, since it uses less digits than its factorization.

242664133036512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229795580551 (or 229795580543 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 242664133036512 in words is "two hundred forty-two trillion, six hundred sixty-four billion, one hundred thirty-three million, thirty-six thousand, five hundred twelve".