3353117647104 has 81 divisors (see below), whose sum is σ = 9668118243693. Its totient is φ = 1117676583936.

The previous prime is 3353117647043. The next prime is 3353117647111. The reversal of 3353117647104 is 4017467113533.

The square root of 3353117647104 is 1831152.

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

3353117647104 is a `hidden beast` number, since 3 + 3 + 5 + 3 + 1 + 176 + 471 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3044159541504 + 308958105600 = 1744752^2 + 555840^2 .

It is a super-2 number, since 2×3353117647104² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3353117647104.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87876222 + ... + 87914370.

Almost surely, 2^{3353117647104} is an apocalyptic number.

3353117647104 is the 1831152-nd square number.

It is an amenable number.

3353117647104 is an abundant number, since it is smaller than the sum of its proper divisors (6315000596589).

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

3353117647104 is an frugal number, since it uses more digits than its factorization.

3353117647104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76320 (or 38154 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 3353117647104 in words is "three trillion, three hundred fifty-three billion, one hundred seventeen million, six hundred forty-seven thousand, one hundred four".