4146631164 has 96 divisors (see below), whose sum is σ = 11595689280. Its totient is φ = 1273881600.

The previous prime is 4146631157. The next prime is 4146631171. The reversal of 4146631164 is 4611366414.

4146631164 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 631 + 16 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4146631157) and next prime (4146631171).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1066504 + ... + 1070384.

It is an arithmetic number, because the mean of its divisors is an integer number (120788430).

Almost surely, 2^4146631164 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 4146631164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797844640).

4146631164 is an abundant number, since it is smaller than the sum of its proper divisors (7449058116).

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

4146631164 is a wasteful number, since it uses less digits than its factorization.

4146631164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668 (or 4660 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4146631164 is about 64394.3410867756. The cubic root of 4146631164 is about 1606.5656205187.

Adding to 4146631164 its reverse (4611366414), we get a palindrome (8757997578).

The spelling of 4146631164 in words is "four billion, one hundred forty-six million, six hundred thirty-one thousand, one hundred sixty-four".