45228699648000 has 2816 divisors, whose sum is σ = 195592864877280. Its totient is φ = 10319560704000.

The previous prime is 45228699647977. The next prime is 45228699648031. The reversal of 45228699648000 is 84699682254.

45228699648000 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 8 + 69 + 96 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 2660511743992 + ... + 2660511744008.

Almost surely, 2^{45228699648000} is an apocalyptic number.

45228699648000 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 45228699648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97796432438640).

45228699648000 is an abundant number, since it is smaller than the sum of its proper divisors (150364165229280).

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

45228699648000 is an frugal number, since it uses more digits than its factorization.

45228699648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 45228699648000 in words is "forty-five trillion, two hundred twenty-eight billion, six hundred ninety-nine million, six hundred forty-eight thousand".