45816096 has 48 divisors (see below), whose sum is σ = 122320800. Its totient is φ = 15011328.

The previous prime is 45816059. The next prime is 45816103. The reversal of 45816096 is 69061854.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×45816096² = 4198229305362432, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1620 + ... + 9708.

It is an arithmetic number, because the mean of its divisors is an integer number (2548350).

Almost surely, 2^45816096 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 45816096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61160400).

45816096 is an abundant number, since it is smaller than the sum of its proper divisors (76504704).

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

45816096 is a wasteful number, since it uses less digits than its factorization.

45816096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8161 (or 8153 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 45816096 is about 6768.7588227089. The cubic root of 45816096 is about 357.8266589021.

The spelling of 45816096 in words is "forty-five million, eight hundred sixteen thousand, ninety-six".