5466352536645 has 384 divisors, whose sum is σ = 12239198060544. Its totient is φ = 2025112320000.

The previous prime is 5466352536611. The next prime is 5466352536649.

5466352536645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5466352536645 - 2¹³ = 5466352528453 is a prime.

It is a super-3 number, since 3×5466352536645³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5466352536649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3589199854 + ... + 3589201376.

It is an arithmetic number, because the mean of its divisors is an integer number (31872911616).

Almost surely, 2^{5466352536645} is an apocalyptic number.

5466352536645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5466352536645 is an abundant number, since it is smaller than the sum of its proper divisors (6772845523899).

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

5466352536645 is a wasteful number, since it uses less digits than its factorization.

5466352536645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2294 counting only the distinct ones).

The product of its digits is 233280000, while the sum is 60.

The spelling of 5466352536645 in words is "five trillion, four hundred sixty-six billion, three hundred fifty-two million, five hundred thirty-six thousand, six hundred forty-five".