86945661414 has 32 divisors (see below), whose sum is σ = 193227166080. Its totient is φ = 28979699400.

The previous prime is 86945661403. The next prime is 86945661419. The reversal of 86945661414 is 41416654968.

86945661414 is a `hidden beast` number, since 8 + 6 + 9 + 4 + 5 + 6 + 614 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86945661419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763869 + ... + 870279.

It is an arithmetic number, because the mean of its divisors is an integer number (6038348940).

Almost surely, 2^86945661414 is an apocalyptic number.

86945661414 is an abundant number, since it is smaller than the sum of its proper divisors (106281504666).

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

86945661414 is a wasteful number, since it uses less digits than its factorization.

86945661414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121553 (or 121547 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 86945661414 in words is "eighty-six billion, nine hundred forty-five million, six hundred sixty-one thousand, four hundred fourteen".