3164413464576 has 2496 divisors, whose sum is σ = 12822938419200. Its totient is φ = 772533780480.

The previous prime is 3164413464571. The next prime is 3164413464581. The reversal of 3164413464576 is 6754643144613.

3164413464576 is a `hidden beast` number, since 3 + 1 + 6 + 4 + 4 + 1 + 3 + 4 + 64 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (3164413464571) and next prime (3164413464581).

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3164413464571) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102077853681 + ... + 102077853711.

It is an arithmetic number, because the mean of its divisors is an integer number (5137395200).

Almost surely, 2^{3164413464576} is an apocalyptic number.

3164413464576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3164413464576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6411469209600).

3164413464576 is an abundant number, since it is smaller than the sum of its proper divisors (9658524954624).

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

3164413464576 is an equidigital number, since it uses as much as digits as its factorization.

3164413464576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 79 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 3164413464576 in words is "three trillion, one hundred sixty-four billion, four hundred thirteen million, four hundred sixty-four thousand, five hundred seventy-six".