3563984164455 has 288 divisors, whose sum is σ = 7489917227520. Its totient is φ = 1553446702080.

The previous prime is 3563984164439. The next prime is 3563984164483. The reversal of 3563984164455 is 5544614893653.

3563984164455 is a `hidden beast` number, since 3 + 5 + 63 + 98 + 41 + 6 + 445 + 5 = 666.

It is not a de Polignac number, because 3563984164455 - 2⁴ = 3563984164439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3563984164392 and 3563984164401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 616283494 + ... + 616289276.

It is an arithmetic number, because the mean of its divisors is an integer number (26006657040).

Almost surely, 2^{3563984164455} is an apocalyptic number.

3563984164455 is an abundant number, since it is smaller than the sum of its proper divisors (3925933063065).

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

3563984164455 is a wasteful number, since it uses less digits than its factorization.

3563984164455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6023 (or 6007 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 63.

The spelling of 3563984164455 in words is "three trillion, five hundred sixty-three billion, nine hundred eighty-four million, one hundred sixty-four thousand, four hundred fifty-five".