36414114561 has 48 divisors (see below), whose sum is σ = 58260384000. Its totient is φ = 21731973120.

The previous prime is 36414114547. The next prime is 36414114577. The reversal of 36414114561 is 16541141463.

36414114561 is a `hidden beast` number, since 3 + 6 + 41 + 41 + 14 + 561 = 666.

It is not a de Polignac number, because 36414114561 - 2⁷ = 36414114433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36414114521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3036385 + ... + 3048353.

It is an arithmetic number, because the mean of its divisors is an integer number (1213758000).

Almost surely, 2^36414114561 is an apocalyptic number.

It is an amenable number.

36414114561 is a deficient number, since it is larger than the sum of its proper divisors (21846269439).

36414114561 is a wasteful number, since it uses less digits than its factorization.

36414114561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12454 (or 12451 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

It can be divided in two parts, 36414 and 114561, that added together give a triangular number (150975 = T₅₄₉).

The spelling of 36414114561 in words is "thirty-six billion, four hundred fourteen million, one hundred fourteen thousand, five hundred sixty-one".