354240524500 has 96 divisors (see below), whose sum is σ = 802497215520. Its totient is φ = 136441267200.

The previous prime is 354240524377. The next prime is 354240524507. The reversal of 354240524500 is 5425042453.

It can be written as a sum of positive squares in 16 ways, for example, as 240621643024 + 113618881476 = 490532^2 + 337074^2 .

It is a super-3 number, since 3×354240524500³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354240524507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5375752 + ... + 5441248.

It is an arithmetic number, because the mean of its divisors is an integer number (8359345995).

Almost surely, 2^354240524500 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 354240524500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401248607760).

354240524500 is an abundant number, since it is smaller than the sum of its proper divisors (448256691020).

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

354240524500 is a wasteful number, since it uses less digits than its factorization.

354240524500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65918 (or 65906 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

Adding to 354240524500 its reverse (5425042453), we get a palindrome (359665566953).

The spelling of 354240524500 in words is "three hundred fifty-four billion, two hundred forty million, five hundred twenty-four thousand, five hundred".