2616634101645 has 64 divisors (see below), whose sum is σ = 4778487840000. Its totient is φ = 1357545339648.

The previous prime is 2616634101611. The next prime is 2616634101673. The reversal of 2616634101645 is 5461014366162.

2616634101645 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 634 + 1 + 0 + 1 + 6 + 4 + 5 = 666.

It is not a de Polignac number, because 2616634101645 - 2¹³ = 2616634093453 is a prime.

It is a super-3 number, since 3×2616634101645³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2616634101645.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25818531 + ... + 25919679.

It is an arithmetic number, because the mean of its divisors is an integer number (74663872500).

Almost surely, 2^{2616634101645} is an apocalyptic number.

It is an amenable number.

2616634101645 is a deficient number, since it is larger than the sum of its proper divisors (2161853738355).

2616634101645 is a wasteful number, since it uses less digits than its factorization.

2616634101645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106379 (or 106373 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2616634101645 in words is "two trillion, six hundred sixteen billion, six hundred thirty-four million, one hundred one thousand, six hundred forty-five".