3514455097344 has 153 divisors (see below), whose sum is σ = 10156953800929. Its totient is φ = 1171005112320.

The previous prime is 3514455097301. The next prime is 3514455097357. The reversal of 3514455097344 is 4437905544153.

The square root of 3514455097344 is 1874688.

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

3514455097344 is a `hidden beast` number, since 3 + 5 + 1 + 44 + 550 + 9 + 7 + 3 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 339786399744 + 3174668697600 = 582912^2 + 1781760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1439759164 + ... + 1439761604.

Almost surely, 2^{3514455097344} is an apocalyptic number.

3514455097344 is the 1874688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3514455097344

3514455097344 is an abundant number, since it is smaller than the sum of its proper divisors (6642498703585).

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

3514455097344 is an frugal number, since it uses more digits than its factorization.

3514455097344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 3514455097344 in words is "three trillion, five hundred fourteen billion, four hundred fifty-five million, ninety-seven thousand, three hundred forty-four".