3541141131264 has 715 divisors, whose sum is σ = 11684200739515. Its totient is φ = 1073073070080.

The previous prime is 3541141131223. The next prime is 3541141131299. The reversal of 3541141131264 is 4621311411453.

The square root of 3541141131264 is 1881792.

It is a perfect power (a square), and thus also a powerful number.

3541141131264 is a `hidden beast` number, since 3 + 5 + 411 + 4 + 113 + 126 + 4 = 666.

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

It is a Duffinian number.

Its product of digits (34560) is a multiple of the sum of its prime divisors (16).

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 54 ways as a sum of consecutive naturals, for example, 321921921019 + ... + 321921921029.

Almost surely, 2^{3541141131264} is an apocalyptic number.

3541141131264 is the 1881792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3541141131264

3541141131264 is an abundant number, since it is smaller than the sum of its proper divisors (8143059608251).

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

3541141131264 is an frugal number, since it uses more digits than its factorization.

3541141131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 16 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Multiplying 3541141131264 by its sum of digits (36), we get a square (127481080725504 = 11290752²).

3541141131264 divided by its sum of digits (36) gives a square (98365031424 = 313632²).

The spelling of 3541141131264 in words is "three trillion, five hundred forty-one billion, one hundred forty-one million, one hundred thirty-one thousand, two hundred sixty-four".