3865146233184 has 96 divisors (see below), whose sum is σ = 11274626573280. Its totient is φ = 1288235404800.

The previous prime is 3865146233177. The next prime is 3865146233191. The reversal of 3865146233184 is 4813326415683.

3865146233184 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 1 + 4 + 623 + 3 + 1 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3865146233177) and next prime (3865146233191).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3865146233184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7474854 + ... + 7975194.

It is an arithmetic number, because the mean of its divisors is an integer number (117444026805).

Almost surely, 2^{3865146233184} is an apocalyptic number.

It is an amenable number.

3865146233184 is an abundant number, since it is smaller than the sum of its proper divisors (7409480340096).

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

3865146233184 is a wasteful number, since it uses less digits than its factorization.

3865146233184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509301 (or 509287 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 3865146233184 in words is "three trillion, eight hundred sixty-five billion, one hundred forty-six million, two hundred thirty-three thousand, one hundred eighty-four".