45149620224 has 384 divisors, whose sum is σ = 130767436800. Its totient is φ = 13824491520.

The previous prime is 45149620223. The next prime is 45149620279. The reversal of 45149620224 is 42202694154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (45149620223) 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, 543971287 + ... + 543971369.

It is an arithmetic number, because the mean of its divisors is an integer number (340540200).

Almost surely, 2^45149620224 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 45149620224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65383718400).

45149620224 is an abundant number, since it is smaller than the sum of its proper divisors (85617816576).

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

45149620224 is a wasteful number, since it uses less digits than its factorization.

45149620224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 45149620224 in words is "forty-five billion, one hundred forty-nine million, six hundred twenty thousand, two hundred twenty-four".