20617101616617 has 32 divisors (see below), whose sum is σ = 33694956720000. Its totient is φ = 12354817432320.

The previous prime is 20617101616609. The next prime is 20617101616633. The reversal of 20617101616617 is 71661610171602.

20617101616617 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 7 + 1 + 0 + 16 + 16 + 617 = 666.

It is not a de Polignac number, because 20617101616617 - 2³ = 20617101616609 is a prime.

It is a super-2 number, since 2×20617101616617² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20617101616637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389961492 + ... + 390014357.

It is an arithmetic number, because the mean of its divisors is an integer number (1052967397500).

Almost surely, 2^{20617101616617} is an apocalyptic number.

20617101616617 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20617101616617 is a deficient number, since it is larger than the sum of its proper divisors (13077855103383).

20617101616617 is a wasteful number, since it uses less digits than its factorization.

20617101616617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779975958 (or 779975952 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 20617101616617 in words is "twenty trillion, six hundred seventeen billion, one hundred one million, six hundred sixteen thousand, six hundred seventeen".