3538663145262 has 192 divisors, whose sum is σ = 9556877491200. Its totient is φ = 923327838720.

The previous prime is 3538663145203. The next prime is 3538663145267. The reversal of 3538663145262 is 2625413668353.

3538663145262 is a `hidden beast` number, since 3 + 5 + 3 + 8 + 66 + 314 + 5 + 262 = 666.

It is a super-4 number, since 4×3538663145262⁴ (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3538663145199 and 3538663145208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3538663145267) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43767418 + ... + 43848194.

It is an arithmetic number, because the mean of its divisors is an integer number (49775403600).

Almost surely, 2^{3538663145262} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3538663145262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778438745600).

3538663145262 is an abundant number, since it is smaller than the sum of its proper divisors (6018214345938).

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

3538663145262 is a wasteful number, since it uses less digits than its factorization.

3538663145262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81471 (or 81468 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 3538663145262 in words is "three trillion, five hundred thirty-eight billion, six hundred sixty-three million, one hundred forty-five thousand, two hundred sixty-two".