45225928800 has 720 divisors, whose sum is σ = 182543285232. Its totient is φ = 10824192000.

The previous prime is 45225928793. The next prime is 45225928829. The reversal of 45225928800 is 882952254.

45225928800 is a `hidden beast` number, since 4 + 52 + 2 + 592 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31168075 + ... + 31169525.

Almost surely, 2^45225928800 is an apocalyptic number.

45225928800 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 45225928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91271642616).

45225928800 is an abundant number, since it is smaller than the sum of its proper divisors (137317356432).

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

45225928800 is a wasteful number, since it uses less digits than its factorization.

45225928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 45225928800 in words is "forty-five billion, two hundred twenty-five million, nine hundred twenty-eight thousand, eight hundred".