8146085664 has 24 divisors (see below), whose sum is σ = 21383475120. Its totient is φ = 2715361856.

The previous prime is 8146085641. The next prime is 8146085683. The reversal of 8146085664 is 4665806418.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×8146085664⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42427434 + ... + 42427625.

It is an arithmetic number, because the mean of its divisors is an integer number (890978130).

Almost surely, 2^8146085664 is an apocalyptic number.

It is an amenable number.

8146085664 is an abundant number, since it is smaller than the sum of its proper divisors (13237389456).

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

8146085664 is a wasteful number, since it uses less digits than its factorization.

8146085664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84855072 (or 84855064 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 8146085664 is about 90255.6683206102. The cubic root of 8146085664 is about 2012.1004472748.

The spelling of 8146085664 in words is "eight billion, one hundred forty-six million, eighty-five thousand, six hundred sixty-four".