85642605414 has 108 divisors (see below), whose sum is σ = 193986076284. Its totient is φ = 27292513248.

The previous prime is 85642605413. The next prime is 85642605467. The reversal of 85642605414 is 41450624658.

It is a happy number.

85642605414 is a `hidden beast` number, since 8 + 5 + 6 + 42 + 60 + 541 + 4 = 666.

It is a super-2 number, since 2×85642605414² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85642605414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85642605413) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 545494224 + ... + 545494380.

It is an arithmetic number, because the mean of its divisors is an integer number (1796167373).

Almost surely, 2^85642605414 is an apocalyptic number.

85642605414 is an abundant number, since it is smaller than the sum of its proper divisors (108343470870).

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

85642605414 is a wasteful number, since it uses less digits than its factorization.

85642605414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 85642605414 in words is "eighty-five billion, six hundred forty-two million, six hundred five thousand, four hundred fourteen".