46133164 has 48 divisors (see below), whose sum is σ = 101719296. Its totient is φ = 17784000.

The previous prime is 46133149. The next prime is 46133201.

46133164 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 30367 + ... + 31849.

It is an arithmetic number, because the mean of its divisors is an integer number (2119152).

Almost surely, 2^46133164 is an apocalyptic number.

46133164 is a gapful number since it is divisible by the number (44) 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 46133164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50859648).

46133164 is an abundant number, since it is smaller than the sum of its proper divisors (55586132).

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

46133164 is a wasteful number, since it uses less digits than its factorization.

46133164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1604 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 46133164 is about 6792.1398689956. The cubic root of 46133164 is about 358.6502025459.

It can be divided in two parts, 4613 and 3164, that added together give a palindrome (7777).

The spelling of 46133164 in words is "forty-six million, one hundred thirty-three thousand, one hundred sixty-four".