45316656 has 240 divisors, whose sum is σ = 163108608. Its totient is φ = 11404800.

The previous prime is 45316631. The next prime is 45316657. The reversal of 45316656 is 65661354.

45316656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45316656² = 4107198622044672, which contains 22 as substring.

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

Its product of digits (64800) is a multiple of the sum of its prime factors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 45316656.

It is not an unprimeable number, because it can be changed into a prime (45316657) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 676335 + ... + 676401.

Almost surely, 2^45316656 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 45316656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81554304).

45316656 is an abundant number, since it is smaller than the sum of its proper divisors (117791952).

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

45316656 is a wasteful number, since it uses less digits than its factorization.

45316656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 45316656 is about 6731.7647017703. The cubic root of 45316656 is about 356.5216860116.

The spelling of 45316656 in words is "forty-five million, three hundred sixteen thousand, six hundred fifty-six".