45358092288 has 312 divisors, whose sum is σ = 137150104000. Its totient is φ = 14977695744.

The previous prime is 45358092259. The next prime is 45358092289. The reversal of 45358092288 is 88229085354.

It is a happy number.

45358092288 is a `hidden beast` number, since 4 + 5 + 358 + 0 + 9 + 2 + 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 (45358092289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198070158 + ... + 198070386.

Almost surely, 2^45358092288 is an apocalyptic number.

45358092288 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 45358092288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68575052000).

45358092288 is an abundant number, since it is smaller than the sum of its proper divisors (91792011712).

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

45358092288 is an equidigital number, since it uses as much as digits as its factorization.

45358092288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 45358092288 in words is "forty-five billion, three hundred fifty-eight million, ninety-two thousand, two hundred eighty-eight".