45549544320 has 768 divisors, whose sum is σ = 196000588800. Its totient is φ = 9791373312.

The previous prime is 45549544319. The next prime is 45549544343. The reversal of 45549544320 is 2344594554.

45549544320 is a `hidden beast` number, since 4 + 554 + 9 + 54 + 43 + 2 + 0 = 666.

45549544320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34956789 + ... + 34958091.

It is an arithmetic number, because the mean of its divisors is an integer number (255209100).

Almost surely, 2^45549544320 is an apocalyptic number.

45549544320 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 45549544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98000294400).

45549544320 is an abundant number, since it is smaller than the sum of its proper divisors (150451044480).

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

45549544320 is a wasteful number, since it uses less digits than its factorization.

45549544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 45549544320 in words is "forty-five billion, five hundred forty-nine million, five hundred forty-four thousand, three hundred twenty".