3453603653664 has 120 divisors (see below), whose sum is σ = 10348593435180. Its totient is φ = 1129480395264.

The previous prime is 3453603653609. The next prime is 3453603653671. The reversal of 3453603653664 is 4663563063543.

It is a happy number.

3453603653664 is a `hidden beast` number, since 3 + 45 + 3 + 6 + 0 + 3 + 6 + 536 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3358085570064 + 95518083600 = 1832508^2 + 309060^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3453603653664.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12432519 + ... + 12707270.

Almost surely, 2^{3453603653664} is an apocalyptic number.

It is an amenable number.

3453603653664 is an abundant number, since it is smaller than the sum of its proper divisors (6894989781516).

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

3453603653664 is a wasteful number, since it uses less digits than its factorization.

3453603653664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25139864 (or 25139847 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 54.

The spelling of 3453603653664 in words is "three trillion, four hundred fifty-three billion, six hundred three million, six hundred fifty-three thousand, six hundred sixty-four".