245142241542 has 96 divisors (see below), whose sum is σ = 602419918464. Its totient is φ = 71391830400.

The previous prime is 245142241529. The next prime is 245142241543.

245142241542 is a `hidden beast` number, since 2 + 4 + 51 + 4 + 22 + 41 + 542 = 666.

245142241542 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 245142241497 and 245142241506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245142241543) 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 47 ways as a sum of consecutive naturals, for example, 318553 + ... + 769259.

It is an arithmetic number, because the mean of its divisors is an integer number (6275207484).

Almost surely, 2^245142241542 is an apocalyptic number.

245142241542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 245142241542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301209959232).

245142241542 is an abundant number, since it is smaller than the sum of its proper divisors (357277676922).

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

245142241542 is a wasteful number, since it uses less digits than its factorization.

245142241542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450834 (or 450831 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 245142 and 241542, that added together give a palindrome (486684).

The spelling of 245142241542 in words is "two hundred forty-five billion, one hundred forty-two million, two hundred forty-one thousand, five hundred forty-two".