46541664 has 144 divisors (see below), whose sum is σ = 147498624. Its totient is φ = 13824000.

The previous prime is 46541657. The next prime is 46541681. The reversal of 46541664 is 46614564.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×46541664² = 4332252975777792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 115864 + ... + 116264.

It is an arithmetic number, because the mean of its divisors is an integer number (1024296).

Almost surely, 2^46541664 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 46541664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73749312).

46541664 is an abundant number, since it is smaller than the sum of its proper divisors (100956960).

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

46541664 is a wasteful number, since it uses less digits than its factorization.

46541664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 450 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 46541664 is about 6822.1451171900. The cubic root of 46541664 is about 359.7056853773.

Subtracting 46541664 from its reverse (46614564), we obtain a square (72900 = 270²).

The spelling of 46541664 in words is "forty-six million, five hundred forty-one thousand, six hundred sixty-four".