45298483200 has 324 divisors, whose sum is σ = 166429981480. Its totient is φ = 12079595520.

The previous prime is 45298483199. The next prime is 45298483201. The reversal of 45298483200 is 238489254.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 5! ⋅ (2!)¹⁹.

It is an interprime number because it is at equal distance from previous prime (45298483199) and next prime (45298483201).

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

It is not an unprimeable number, because it can be changed into a prime (45298483201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9059696638 + ... + 9059696642.

Almost surely, 2^45298483200 is an apocalyptic number.

45298483200 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 45298483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83214990740).

45298483200 is an abundant number, since it is smaller than the sum of its proper divisors (121131498280).

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

45298483200 is an frugal number, since it uses more digits than its factorization.

45298483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 45298483200 in words is "forty-five billion, two hundred ninety-eight million, four hundred eighty-three thousand, two hundred".