46614144 has 64 divisors (see below), whose sum is σ = 130356000. Its totient is φ = 14717952.

The previous prime is 46614143. The next prime is 46614149. The reversal of 46614144 is 44141664.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (46614143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4102 + ... + 10490.

Almost surely, 2^46614144 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 46614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65178000).

46614144 is an abundant number, since it is smaller than the sum of its proper divisors (83741856).

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

46614144 is a wasteful number, since it uses less digits than its factorization.

46614144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6425 (or 6413 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 46614144 is about 6827.4551627968. The cubic root of 46614144 is about 359.8923134700.

The spelling of 46614144 in words is "forty-six million, six hundred fourteen thousand, one hundred forty-four".