354531202145532 has 288 divisors, whose sum is σ = 1042408068549120. Its totient is φ = 100775969648640.

The previous prime is 354531202145441. The next prime is 354531202145543. The reversal of 354531202145532 is 235541202135453.

354531202145532 is a `hidden beast` number, since 3 + 5 + 4 + 5 + 31 + 20 + 21 + 45 + 532 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1981938048 + ... + 1982116920.

It is an arithmetic number, because the mean of its divisors is an integer number (3619472460240).

Almost surely, 2^{354531202145532} 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 354531202145532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521204034274560).

354531202145532 is an abundant number, since it is smaller than the sum of its proper divisors (687876866403588).

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

354531202145532 is a wasteful number, since it uses less digits than its factorization.

354531202145532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186353 (or 186348 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 354531202145532 in words is "three hundred fifty-four trillion, five hundred thirty-one billion, two hundred two million, one hundred forty-five thousand, five hundred thirty-two".