45537696 has 144 divisors (see below), whose sum is σ = 140107968. Its totient is φ = 13977600.

The previous prime is 45537671. The next prime is 45537697. The reversal of 45537696 is 69673554.

45537696 is a `hidden beast` number, since 4 + 553 + 7 + 6 + 96 = 666.

45537696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (45537697) 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, 347551 + ... + 347681.

It is an arithmetic number, because the mean of its divisors is an integer number (972972).

Almost surely, 2^45537696 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 45537696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70053984).

45537696 is an abundant number, since it is smaller than the sum of its proper divisors (94570272).

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

45537696 is a wasteful number, since it uses less digits than its factorization.

45537696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 45537696 is about 6748.1624165398. The cubic root of 45537696 is about 357.1004119310.

The spelling of 45537696 in words is "forty-five million, five hundred thirty-seven thousand, six hundred ninety-six".