242877534464 has 144 divisors (see below), whose sum is σ = 531090238896. Its totient is φ = 110395392000.

The previous prime is 242877534461. The next prime is 242877534467. The reversal of 242877534464 is 464435778242.

It is an interprime number because it is at equal distance from previous prime (242877534461) and next prime (242877534467).

It can be written as a sum of positive squares in 8 ways, for example, as 15356166400 + 227521368064 = 123920^2 + 476992^2 .

It is not an unprimeable number, because it can be changed into a prime (242877534461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18014894 + ... + 18028370.

It is an arithmetic number, because the mean of its divisors is an integer number (3688126659).

Almost surely, 2^242877534464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242877534464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265545119448).

242877534464 is an abundant number, since it is smaller than the sum of its proper divisors (288212704432).

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

242877534464 is a wasteful number, since it uses less digits than its factorization.

242877534464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13652 (or 13638 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 56.

The spelling of 242877534464 in words is "two hundred forty-two billion, eight hundred seventy-seven million, five hundred thirty-four thousand, four hundred sixty-four".