45308598600 has 192 divisors, whose sum is σ = 142120368000. Its totient is φ = 11940065280.

The previous prime is 45308598589. The next prime is 45308598619. The reversal of 45308598600 is 689580354.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45308598600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18744592 + ... + 18747008.

It is an arithmetic number, because the mean of its divisors is an integer number (740210250).

Almost surely, 2^45308598600 is an apocalyptic number.

45308598600 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 45308598600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71060184000).

45308598600 is an abundant number, since it is smaller than the sum of its proper divisors (96811769400).

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

45308598600 is a wasteful number, since it uses less digits than its factorization.

45308598600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 45308598600 in words is "forty-five billion, three hundred eight million, five hundred ninety-eight thousand, six hundred".