45300460800 has 648 divisors, whose sum is σ = 175530952800. Its totient is φ = 10258268160.

The previous prime is 45300460787. The next prime is 45300460811. The reversal of 45300460800 is 806400354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 168403066 + ... + 168403334.

It is an arithmetic number, because the mean of its divisors is an integer number (270881100).

Almost surely, 2^45300460800 is an apocalyptic number.

45300460800 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 45300460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87765476400).

45300460800 is an abundant number, since it is smaller than the sum of its proper divisors (130230492000).

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

45300460800 is a wasteful number, since it uses less digits than its factorization.

45300460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 45300460800 in words is "forty-five billion, three hundred million, four hundred sixty thousand, eight hundred".