45300817920 has 224 divisors, whose sum is σ = 145443293568. Its totient is φ = 12039487488.

The previous prime is 45300817909. The next prime is 45300817927. The reversal of 45300817920 is 2971800354.

It is not an unprimeable number, because it can be changed into a prime (45300817927) 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, 59842182 + ... + 59842938.

Almost surely, 2^45300817920 is an apocalyptic number.

45300817920 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 45300817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72721646784).

45300817920 is an abundant number, since it is smaller than the sum of its proper divisors (100142475648).

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

45300817920 is an equidigital number, since it uses as much as digits as its factorization.

45300817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 45300817920 in words is "forty-five billion, three hundred million, eight hundred seventeen thousand, nine hundred twenty".