45785649 has 72 divisors (see below), whose sum is σ = 81779040. Its totient is φ = 22643712.

The previous prime is 45785639. The next prime is 45785651. The reversal of 45785649 is 94658754.

It is not a de Polignac number, because 45785649 - 2⁷ = 45785521 is a prime.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 45785598 and 45785607.

It is not an unprimeable number, because it can be changed into a prime (45785639) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 471969 + ... + 472065.

It is an arithmetic number, because the mean of its divisors is an integer number (1135820).

Almost surely, 2^45785649 is an apocalyptic number.

45785649 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

45785649 is a deficient number, since it is larger than the sum of its proper divisors (35993391).

45785649 is a wasteful number, since it uses less digits than its factorization.

45785649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 45785649 is about 6766.5093659878. The cubic root of 45785649 is about 357.7473769940.

The spelling of 45785649 in words is "forty-five million, seven hundred eighty-five thousand, six hundred forty-nine".