241615516142 has 64 divisors (see below), whose sum is σ = 487336034304. Its totient is φ = 86765091840.

The previous prime is 241615516141. The next prime is 241615516171.

241615516142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 241615516096 and 241615516105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241615516141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257683 + ... + 1437009.

It is an arithmetic number, because the mean of its divisors is an integer number (7614625536).

Almost surely, 2^241615516142 is an apocalyptic number.

241615516142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241615516142 is an abundant number, since it is smaller than the sum of its proper divisors (245720518162).

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

241615516142 is a wasteful number, since it uses less digits than its factorization.

241615516142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180033.

The product of its digits is 57600, while the sum is 38.

It can be divided in two parts, 241615 and 516142, that added together give a palindrome (757757).

The spelling of 241615516142 in words is "two hundred forty-one billion, six hundred fifteen million, five hundred sixteen thousand, one hundred forty-two".