45465428320 has 768 divisors, whose sum is σ = 138997555200. Its totient is φ = 13854965760.

The previous prime is 45465428251. The next prime is 45465428341. The reversal of 45465428320 is 2382456454.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 770600451 + ... + 770600509.

It is an arithmetic number, because the mean of its divisors is an integer number (180986400).

Almost surely, 2^45465428320 is an apocalyptic number.

45465428320 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 45465428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69498777600).

45465428320 is an abundant number, since it is smaller than the sum of its proper divisors (93532126880).

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

45465428320 is a wasteful number, since it uses less digits than its factorization.

45465428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 43.

The spelling of 45465428320 in words is "forty-five billion, four hundred sixty-five million, four hundred twenty-eight thousand, three hundred twenty".