86222472155667 has 96 divisors (see below), whose sum is σ = 132364447488000. Its totient is φ = 54001601821440.

The previous prime is 86222472155663. The next prime is 86222472155671. The reversal of 86222472155667 is 76655127422268.

86222472155667 is a `hidden beast` number, since 8 + 6 + 2 + 2 + 2 + 4 + 72 + 1 + 556 + 6 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (86222472155663) and next prime (86222472155671).

It is not a de Polignac number, because 86222472155667 - 2² = 86222472155663 is a prime.

It is a super-2 number, since 2×86222472155667² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86222472155663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3716954913 + ... + 3716978109.

It is an arithmetic number, because the mean of its divisors is an integer number (1378796328000).

Almost surely, 2^{86222472155667} is an apocalyptic number.

86222472155667 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

86222472155667 is a deficient number, since it is larger than the sum of its proper divisors (46141975332333).

86222472155667 is a wasteful number, since it uses less digits than its factorization.

86222472155667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25921 (or 25918 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 86222472155667 in words is "eighty-six trillion, two hundred twenty-two billion, four hundred seventy-two million, one hundred fifty-five thousand, six hundred sixty-seven".