353204242524 has 240 divisors, whose sum is σ = 1080326410240. Its totient is φ = 98541671040.

The previous prime is 353204242519. The next prime is 353204242537. The reversal of 353204242524 is 425242402353.

353204242524 is a `hidden beast` number, since 3 + 5 + 3 + 204 + 2 + 425 + 24 = 666.

It is a super-3 number, since 3×353204242524³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 19221189 + ... + 19239555.

Almost surely, 2^353204242524 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 353204242524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540163205120).

353204242524 is an abundant number, since it is smaller than the sum of its proper divisors (727122167716).

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

353204242524 is a wasteful number, since it uses less digits than its factorization.

353204242524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18590 (or 18579 counting only the distinct ones).

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

Adding to 353204242524 its reverse (425242402353), we get a palindrome (778446644877).

The spelling of 353204242524 in words is "three hundred fifty-three billion, two hundred four million, two hundred forty-two thousand, five hundred twenty-four".