164427006015 has 24 divisors (see below), whose sum is σ = 285039142128. Its totient is φ = 87684455040.

The previous prime is 164427006001. The next prime is 164427006017. The reversal of 164427006015 is 510600724461.

164427006015 is a `hidden beast` number, since 1 + 6 + 4 + 42 + 7 + 0 + 0 + 601 + 5 = 666.

It is a Cunningham number, because it is equal to 405496²-1.

It is not a de Polignac number, because 164427006015 - 2⁷ = 164427005887 is a prime.

It is a super-3 number, since 3×164427006015³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164427006017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202747 + ... + 608243.

It is an arithmetic number, because the mean of its divisors is an integer number (11876630922).

Almost surely, 2^164427006015 is an apocalyptic number.

164427006015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164427006015 is a deficient number, since it is larger than the sum of its proper divisors (120612136113).

164427006015 is a wasteful number, since it uses less digits than its factorization.

164427006015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414519 (or 414516 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 164427006015 in words is "one hundred sixty-four billion, four hundred twenty-seven million, six thousand, fifteen".