4655340435564 has 192 divisors, whose sum is σ = 15256125696000. Its totient is φ = 1194598699776.

The previous prime is 4655340435479. The next prime is 4655340435569.

4655340435564 is a `hidden beast` number, since 4 + 6 + 5 + 5 + 3 + 40 + 4 + 35 + 564 = 666.

4655340435564 is nontrivially palindromic in base 10.

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 4655340435564.

It is not an unprimeable number, because it can be changed into a prime (4655340435569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6037464 + ... + 6764735.

It is an arithmetic number, because the mean of its divisors is an integer number (79458988000).

Almost surely, 2^{4655340435564} is an apocalyptic number.

It is an amenable number.

4655340435564 is an abundant number, since it is smaller than the sum of its proper divisors (10600785260436).

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

4655340435564 is a wasteful number, since it uses less digits than its factorization.

4655340435564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12802269 (or 12802261 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 54.

The spelling of 4655340435564 in words is "four trillion, six hundred fifty-five billion, three hundred forty million, four hundred thirty-five thousand, five hundred sixty-four".