86606450342757 has 32 divisors (see below), whose sum is σ = 128334197888000. Its totient is φ = 57724879800240.

The previous prime is 86606450342723. The next prime is 86606450342791. The reversal of 86606450342757 is 75724305460668.

It is a happy number.

86606450342757 is a `hidden beast` number, since 8 + 6 + 60 + 64 + 503 + 4 + 2 + 7 + 5 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (86606450342723) and next prime (86606450342791).

It is not a de Polignac number, because 86606450342757 - 2¹⁴ = 86606450326373 is a prime.

It is a super-2 number, since 2×86606450342757² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86606450342694 and 86606450342703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86606450342957) 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, 3612955782 + ... + 3612979752.

It is an arithmetic number, because the mean of its divisors is an integer number (4010443684000).

Almost surely, 2^{86606450342757} is an apocalyptic number.

It is an amenable number.

86606450342757 is a deficient number, since it is larger than the sum of its proper divisors (41727747545243).

86606450342757 is a wasteful number, since it uses less digits than its factorization.

86606450342757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47958 (or 47952 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 86606450342757 in words is "eighty-six trillion, six hundred six billion, four hundred fifty million, three hundred forty-two thousand, seven hundred fifty-seven".