45743616 has 100 divisors (see below), whose sum is σ = 136656432. Its totient is φ = 15234048.

The previous prime is 45743609. The next prime is 45743623. The reversal of 45743616 is 61634754.

It is a happy number.

45743616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45743609) and next prime (45743623).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 40921 + ... + 42023.

Almost surely, 2^45743616 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 45743616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68328216).

45743616 is an abundant number, since it is smaller than the sum of its proper divisors (90912816).

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

45743616 is an equidigital number, since it uses as much as digits as its factorization.

45743616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1108 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 45743616 is about 6763.4026939108. The cubic root of 45743616 is about 357.6378681577.

The spelling of 45743616 in words is "forty-five million, seven hundred forty-three thousand, six hundred sixteen".