45649528320 has 320 divisors, whose sum is σ = 162604164096. Its totient is φ = 10830151680.

The previous prime is 45649528319. The next prime is 45649528357. The reversal of 45649528320 is 2382594654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45649528320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3964812 + ... + 3976308.

Almost surely, 2^45649528320 is an apocalyptic number.

45649528320 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 45649528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81302082048).

45649528320 is an abundant number, since it is smaller than the sum of its proper divisors (116954635776).

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

45649528320 is a wasteful number, since it uses less digits than its factorization.

45649528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11581 (or 11565 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 45649528320 in words is "forty-five billion, six hundred forty-nine million, five hundred twenty-eight thousand, three hundred twenty".