1146228472800 has 432 divisors, whose sum is σ = 4242148485120. Its totient is φ = 301974013440.

The previous prime is 1146228472799. The next prime is 1146228472813. The reversal of 1146228472800 is 82748226411.

1146228472800 is a `hidden beast` number, since 1 + 14 + 622 + 8 + 4 + 7 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 71 ways as a sum of consecutive naturals, for example, 16099681 + ... + 16170719.

It is an arithmetic number, because the mean of its divisors is an integer number (9819788160).

Almost surely, 2^{1146228472800} is an apocalyptic number.

1146228472800 is a gapful number since it is divisible by the number (10) 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 1146228472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121074242560).

1146228472800 is an abundant number, since it is smaller than the sum of its proper divisors (3095920012320).

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

1146228472800 is an equidigital number, since it uses as much as digits as its factorization.

1146228472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71157 (or 71132 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 1146228472800 in words is "one trillion, one hundred forty-six billion, two hundred twenty-eight million, four hundred seventy-two thousand, eight hundred".