46533564 has 72 divisors (see below), whose sum is σ = 146659968. Its totient is φ = 12085920.

The previous prime is 46533559. The next prime is 46533569.

46533564 is a `hidden beast` number, since 4 + 65 + 33 + 564 = 666.

46533564 is nontrivially palindromic in base 10.

46533564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46533559) and next prime (46533569).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46533569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5622 + ... + 11165.

It is an arithmetic number, because the mean of its divisors is an integer number (2036944).

Almost surely, 2^46533564 is an apocalyptic number.

46533564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46533564 is an abundant number, since it is smaller than the sum of its proper divisors (100126404).

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

46533564 is a wasteful number, since it uses less digits than its factorization.

46533564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16815 (or 16810 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 46533564 is about 6821.5514364402. The cubic root of 46533564 is about 359.6848167273.

The spelling of 46533564 in words is "forty-six million, five hundred thirty-three thousand, five hundred sixty-four".