45152595360 has 288 divisors, whose sum is σ = 162827159040. Its totient is φ = 11370737664.

The previous prime is 45152595349. The next prime is 45152595403. The reversal of 45152595360 is 6359525154.

45152595360 is a `hidden beast` number, since 4 + 5 + 1 + 52 + 595 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 2607852 + ... + 2625108.

It is an arithmetic number, because the mean of its divisors is an integer number (565372080).

Almost surely, 2^45152595360 is an apocalyptic number.

45152595360 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 45152595360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81413579520).

45152595360 is an abundant number, since it is smaller than the sum of its proper divisors (117674563680).

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

45152595360 is a wasteful number, since it uses less digits than its factorization.

45152595360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17380 (or 17369 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 45152595360 in words is "forty-five billion, one hundred fifty-two million, five hundred ninety-five thousand, three hundred sixty".