45066336 has 96 divisors (see below), whose sum is σ = 136281600. Its totient is φ = 12773376.

The previous prime is 45066323. The next prime is 45066341. The reversal of 45066336 is 63366054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 45066297 and 45066306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133560 + ... + 133896.

It is an arithmetic number, because the mean of its divisors is an integer number (1419600).

Almost surely, 2^45066336 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 45066336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68140800).

45066336 is an abundant number, since it is smaller than the sum of its proper divisors (91215264).

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

45066336 is a wasteful number, since it uses less digits than its factorization.

45066336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 45066336 is about 6713.1465051792. The cubic root of 45066336 is about 355.8640224701.

The spelling of 45066336 in words is "forty-five million, sixty-six thousand, three hundred thirty-six".