4171349594664 has 320 divisors, whose sum is σ = 13863220208640. Its totient is φ = 1146694993920.

The previous prime is 4171349594653. The next prime is 4171349594669. The reversal of 4171349594664 is 4664959431714.

It is a happy number.

4171349594664 is a `hidden beast` number, since 4 + 1 + 7 + 1 + 34 + 9 + 594 + 6 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is not an unprimeable number, because it can be changed into a prime (4171349594669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24240832 + ... + 24412304.

It is an arithmetic number, because the mean of its divisors is an integer number (43322563152).

Almost surely, 2^{4171349594664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4171349594664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931610104320).

4171349594664 is an abundant number, since it is smaller than the sum of its proper divisors (9691870613976).

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

4171349594664 is a wasteful number, since it uses less digits than its factorization.

4171349594664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171702 (or 171689 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 4171349594664 in words is "four trillion, one hundred seventy-one billion, three hundred forty-nine million, five hundred ninety-four thousand, six hundred sixty-four".