45549130816 has 224 divisors, whose sum is σ = 111031861248. Its totient is φ = 18116904960.

The previous prime is 45549130801. The next prime is 45549130817. The reversal of 45549130816 is 61803194554.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (45549130817) 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, 98804826 + ... + 98805286.

It is an arithmetic number, because the mean of its divisors is an integer number (495677952).

Almost surely, 2^45549130816 is an apocalyptic number.

45549130816 is a gapful number since it is divisible by the number (46) 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 45549130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55515930624).

45549130816 is an abundant number, since it is smaller than the sum of its proper divisors (65482730432).

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

45549130816 is a wasteful number, since it uses less digits than its factorization.

45549130816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 45549130816 in words is "forty-five billion, five hundred forty-nine million, one hundred thirty thousand, eight hundred sixteen".