45691776 has 192 divisors, whose sum is σ = 148140720. Its totient is φ = 13934592.

The previous prime is 45691771. The next prime is 45691813. The reversal of 45691776 is 67719654.

It is a happy number.

45691776 is a `hidden beast` number, since 4 + 569 + 17 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45691771) by changing a digit.

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, 404296 + ... + 404408.

Almost surely, 2^45691776 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 45691776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74070360).

45691776 is an abundant number, since it is smaller than the sum of its proper divisors (102448944).

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

45691776 is a wasteful number, since it uses less digits than its factorization.

45691776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 45691776 is about 6759.5692170433. The cubic root of 45691776 is about 357.5027166566.

The spelling of 45691776 in words is "forty-five million, six hundred ninety-one thousand, seven hundred seventy-six".