45259952947200 has 1224 divisors, whose sum is σ = 170381394892800. Its totient is φ = 11908263444480.

The previous prime is 45259952947123. The next prime is 45259952947229. The reversal of 45259952947200 is 274925995254.

45259952947200 is a `hidden beast` number, since 4 + 5 + 2 + 59 + 95 + 29 + 472 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31452364081 + ... + 31452365519.

Almost surely, 2^{45259952947200} is an apocalyptic number.

45259952947200 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 45259952947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85190697446400).

45259952947200 is an abundant number, since it is smaller than the sum of its proper divisors (125121441945600).

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

45259952947200 is an frugal number, since it uses more digits than its factorization.

45259952947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 45259952947200 in words is "forty-five trillion, two hundred fifty-nine billion, nine hundred fifty-two million, nine hundred forty-seven thousand, two hundred".