3502093046544 has 225 divisors, whose sum is σ = 10225574644197. Its totient is φ = 1157146570368.

The previous prime is 3502093046533. The next prime is 3502093046581. The reversal of 3502093046544 is 4456403902053.

The square root of 3502093046544 is 1871388.

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

3502093046544 is a `hidden beast` number, since 3 + 50 + 20 + 9 + 30 + 4 + 6 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3261679344144 + 240413702400 = 1806012^2 + 490320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3502093046544.

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 44 ways as a sum of consecutive naturals, for example, 15292982622 + ... + 15292982850.

Almost surely, 2^{3502093046544} is an apocalyptic number.

3502093046544 is the 1871388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3502093046544

3502093046544 is an abundant number, since it is smaller than the sum of its proper divisors (6723481597653).

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

3502093046544 is an frugal number, since it uses more digits than its factorization.

3502093046544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

Adding to 3502093046544 its reverse (4456403902053), we get a palindrome (7958496948597).

The spelling of 3502093046544 in words is "three trillion, five hundred two billion, ninety-three million, forty-six thousand, five hundred forty-four".