45245448600 has 768 divisors, whose sum is σ = 169360588800. Its totient is φ = 9870336000.

The previous prime is 45245448587. The next prime is 45245448623. The reversal of 45245448600 is 684454254.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 400402144 + ... + 400402256.

It is an arithmetic number, because the mean of its divisors is an integer number (220521600).

Almost surely, 2^45245448600 is an apocalyptic number.

45245448600 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 45245448600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84680294400).

45245448600 is an abundant number, since it is smaller than the sum of its proper divisors (124115140200).

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

45245448600 is a wasteful number, since it uses less digits than its factorization.

45245448600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 45245448600 in words is "forty-five billion, two hundred forty-five million, four hundred forty-eight thousand, six hundred".