46086144 has 96 divisors (see below), whose sum is σ = 132546960. Its totient is φ = 14155776.

The previous prime is 46086137. The next prime is 46086149. The reversal of 46086144 is 44168064.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46086149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79584 + ... + 80160.

Almost surely, 2^46086144 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 46086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66273480).

46086144 is an abundant number, since it is smaller than the sum of its proper divisors (86460816).

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

46086144 is a wasteful number, since it uses less digits than its factorization.

46086144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 46086144 is about 6788.6776326469. The cubic root of 46086144 is about 358.5283129000.

The spelling of 46086144 in words is "forty-six million, eighty-six thousand, one hundred forty-four".