45356364288 has 160 divisors (see below), whose sum is σ = 135007192320. Its totient is φ = 15034429440.

The previous prime is 45356364241. The next prime is 45356364289. The reversal of 45356364288 is 88246365354.

45356364288 is a `hidden beast` number, since 4 + 5 + 356 + 3 + 6 + 4 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45356364289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2493081 + ... + 2511207.

It is an arithmetic number, because the mean of its divisors is an integer number (843794952).

Almost surely, 2^45356364288 is an apocalyptic number.

45356364288 is a gapful number since it is divisible by the number (48) 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 45356364288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67503596160).

45356364288 is an abundant number, since it is smaller than the sum of its proper divisors (89650828032).

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

45356364288 is a wasteful number, since it uses less digits than its factorization.

45356364288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18335 (or 18313 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 45356364288 in words is "forty-five billion, three hundred fifty-six million, three hundred sixty-four thousand, two hundred eighty-eight".