45025683200 has 432 divisors, whose sum is σ = 129749195520. Its totient is φ = 15344271360.

The previous prime is 45025683191. The next prime is 45025683211. The reversal of 45025683200 is 238652054.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47545127 + ... + 47546073.

It is an arithmetic number, because the mean of its divisors is an integer number (300345360).

Almost surely, 2^45025683200 is an apocalyptic number.

45025683200 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 45025683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64874597760).

45025683200 is an abundant number, since it is smaller than the sum of its proper divisors (84723512320).

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

45025683200 is a wasteful number, since it uses less digits than its factorization.

45025683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 45025683200 in words is "forty-five billion, twenty-five million, six hundred eighty-three thousand, two hundred".