45016776 has 128 divisors (see below), whose sum is σ = 150528000. Its totient is φ = 12177216.

The previous prime is 45016771. The next prime is 45016781. The reversal of 45016776 is 67761054.

It is an interprime number because it is at equal distance from previous prime (45016771) and next prime (45016781).

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

It is a self number, because there is not a number n which added to its sum of digits gives 45016776.

It is not an unprimeable number, because it can be changed into a prime (45016771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27945 + ... + 29511.

It is an arithmetic number, because the mean of its divisors is an integer number (1176000).

Almost surely, 2^45016776 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 45016776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75264000).

45016776 is an abundant number, since it is smaller than the sum of its proper divisors (105511224).

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

45016776 is a wasteful number, since it uses less digits than its factorization.

45016776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 45016776 is about 6709.4542251960. The cubic root of 45016776 is about 355.7335252850.

The spelling of 45016776 in words is "forty-five million, sixteen thousand, seven hundred seventy-six".