45123616 has 48 divisors (see below), whose sum is σ = 91996128. Its totient is φ = 21772800.

The previous prime is 45123599. The next prime is 45123643. The reversal of 45123616 is 61632154.

It is a super-2 number, since 2×45123616² = 4072281441830912, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213751 + ... + 213961.

It is an arithmetic number, because the mean of its divisors is an integer number (1916586).

Almost surely, 2^45123616 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 45123616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45998064).

45123616 is an abundant number, since it is smaller than the sum of its proper divisors (46872512).

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

45123616 is a wasteful number, since it uses less digits than its factorization.

45123616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 417 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 45123616 is about 6717.4114061891. The cubic root of 45123616 is about 356.0147281707.

It can be divided in two parts, 4512 and 3616, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 45123616 in words is "forty-five million, one hundred twenty-three thousand, six hundred sixteen".