45016161200 has 120 divisors (see below), whose sum is σ = 112970331936. Its totient is φ = 17205760000.

The previous prime is 45016161187. The next prime is 45016161233. The reversal of 45016161200 is 216161054.

45016161200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45016161200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11967320 + ... + 11971080.

Almost surely, 2^45016161200 is an apocalyptic number.

45016161200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45016161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56485165968).

45016161200 is an abundant number, since it is smaller than the sum of its proper divisors (67954170736).

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

45016161200 is a wasteful number, since it uses less digits than its factorization.

45016161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5103 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 45016161200 in words is "forty-five billion, sixteen million, one hundred sixty-one thousand, two hundred".