46081152 has 192 divisors, whose sum is σ = 152039160. Its totient is φ = 13271040.

The previous prime is 46081129. The next prime is 46081163. The reversal of 46081152 is 25118064.

46081152 is a `hidden beast` number, since 4 + 608 + 1 + 1 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23270976 + 22810176 = 4824^2 + 4776^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 254502 + ... + 254682.

Almost surely, 2^46081152 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 46081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76019580).

46081152 is an abundant number, since it is smaller than the sum of its proper divisors (105958008).

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

46081152 is a wasteful number, since it uses less digits than its factorization.

46081152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 46081152 is about 6788.3099516743. The cubic root of 46081152 is about 358.5153673028.

It can be divided in two parts, 4608 and 1152, that multiplied together give a 4-th power (5308416 = 48⁴).

The spelling of 46081152 in words is "forty-six million, eighty-one thousand, one hundred fifty-two".