45552768 has 64 divisors (see below), whose sum is σ = 121706400. Its totient is φ = 15095808.

The previous prime is 45552751. The next prime is 45552769. The reversal of 45552768 is 86725554.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (45552769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120003 + ... + 120381.

Almost surely, 2^45552768 is an apocalyptic number.

45552768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45552768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60853200).

45552768 is an abundant number, since it is smaller than the sum of its proper divisors (76153632).

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

45552768 is a wasteful number, since it uses less digits than its factorization.

45552768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 697 counting only the distinct ones).

The product of its digits is 336000, while the sum is 42.

The square root of 45552768 is about 6749.2790726121. The cubic root of 45552768 is about 357.1398051092.

The spelling of 45552768 in words is "forty-five million, five hundred fifty-two thousand, seven hundred sixty-eight".