45300582450 has 288 divisors, whose sum is σ = 132225912000. Its totient is φ = 11515633920.

The previous prime is 45300582427. The next prime is 45300582451. The reversal of 45300582450 is 5428500354.

45300582450 is a `hidden beast` number, since 4 + 5 + 30 + 0 + 582 + 45 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (45300582451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29244276 + ... + 29245824.

It is an arithmetic number, because the mean of its divisors is an integer number (459117750).

Almost surely, 2^45300582450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45300582450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66112956000).

45300582450 is an abundant number, since it is smaller than the sum of its proper divisors (86925329550).

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

45300582450 is a wasteful number, since it uses less digits than its factorization.

45300582450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 45300582450 in words is "forty-five billion, three hundred million, five hundred eighty-two thousand, four hundred fifty".