42601645601645 has 48 divisors (see below), whose sum is σ = 55507053675600. Its totient is φ = 31374429585408.

The previous prime is 42601645601639. The next prime is 42601645601651. The reversal of 42601645601645 is 54610654610624.

It is an interprime number because it is at equal distance from previous prime (42601645601639) and next prime (42601645601651).

It can be written as a sum of positive squares in 24 ways, for example, as 34188414691396 + 8413230910249 = 5847086^2 + 2900557^2 .

It is not a de Polignac number, because 42601645601645 - 2¹⁰ = 42601645600621 is a prime.

It is a super-3 number, since 3×42601645601645³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42601645601593 and 42601645601602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 816832889 + ... + 816885041.

It is an arithmetic number, because the mean of its divisors is an integer number (1156396951575).

Almost surely, 2^{42601645601645} is an apocalyptic number.

It is an amenable number.

42601645601645 is a deficient number, since it is larger than the sum of its proper divisors (12905408073955).

42601645601645 is a wasteful number, since it uses less digits than its factorization.

42601645601645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54786 (or 54773 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 50.

The spelling of 42601645601645 in words is "forty-two trillion, six hundred one billion, six hundred forty-five million, six hundred one thousand, six hundred forty-five".