2661453435168 has 144 divisors (see below), whose sum is σ = 8257128175296. Its totient is φ = 806444997120.

The previous prime is 2661453435031. The next prime is 2661453435197. The reversal of 2661453435168 is 8615343541662.

2661453435168 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 45 + 3 + 435 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81505821 + ... + 81538467.

It is an arithmetic number, because the mean of its divisors is an integer number (57341167884).

Almost surely, 2^{2661453435168} is an apocalyptic number.

It is an amenable number.

2661453435168 is an abundant number, since it is smaller than the sum of its proper divisors (5595674740128).

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

2661453435168 is a wasteful number, since it uses less digits than its factorization.

2661453435168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58407 (or 58396 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 2661453435168 in words is "two trillion, six hundred sixty-one billion, four hundred fifty-three million, four hundred thirty-five thousand, one hundred sixty-eight".