245322223542 has 144 divisors (see below), whose sum is σ = 602703082800. Its totient is φ = 71511137280.

The previous prime is 245322223541. The next prime is 245322223589.

245322223542 is a `hidden beast` number, since 2 + 45 + 32 + 22 + 23 + 542 = 666.

245322223542 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 245322223497 and 245322223506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245322223541) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24119434 + ... + 24129602.

It is an arithmetic number, because the mean of its divisors is an integer number (4185438075).

Almost surely, 2^245322223542 is an apocalyptic number.

245322223542 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 245322223542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301351541400).

245322223542 is an abundant number, since it is smaller than the sum of its proper divisors (357380859258).

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

245322223542 is a wasteful number, since it uses less digits than its factorization.

245322223542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10351 (or 10311 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

It can be divided in two parts, 245322 and 223542, that added together give a palindrome (468864).

The spelling of 245322223542 in words is "two hundred forty-five billion, three hundred twenty-two million, two hundred twenty-three thousand, five hundred forty-two".