46813536 has 144 divisors (see below), whose sum is σ = 166053888. Its totient is φ = 12153600.

The previous prime is 46813531. The next prime is 46813537. The reversal of 46813536 is 63531864.

46813536 is a `hidden beast` number, since 46 + 81 + 3 + 536 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 46813536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46813531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21121 + ... + 23231.

It is an arithmetic number, because the mean of its divisors is an integer number (1153152).

Almost surely, 2^46813536 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 46813536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83026944).

46813536 is an abundant number, since it is smaller than the sum of its proper divisors (119240352).

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

46813536 is a wasteful number, since it uses less digits than its factorization.

46813536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2134 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 46813536 is about 6842.0418005154. The cubic root of 46813536 is about 360.4047299970.

The spelling of 46813536 in words is "forty-six million, eight hundred thirteen thousand, five hundred thirty-six".