1645862328000 has 1008 divisors, whose sum is σ = 6712051530912. Its totient is φ = 398939904000.

The previous prime is 1645862327987. The next prime is 1645862328001. The reversal of 1645862328000 is 8232685461.

1645862328000 is a `hidden beast` number, since 1 + 64 + 586 + 2 + 3 + 2 + 8 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1645862328001) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 235220502 + ... + 235227498.

Almost surely, 2^{1645862328000} is an apocalyptic number.

1645862328000 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 1645862328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356025765456).

1645862328000 is an abundant number, since it is smaller than the sum of its proper divisors (5066189202912).

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

1645862328000 is an equidigital number, since it uses as much as digits as its factorization.

1645862328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7061 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1645862328000 in words is "one trillion, six hundred forty-five billion, eight hundred sixty-two million, three hundred twenty-eight thousand".