1864450536000 has 896 divisors, whose sum is σ = 6812655123456. Its totient is φ = 446452531200.

The previous prime is 1864450535971. The next prime is 1864450536007. The reversal of 1864450536000 is 6350544681.

It is not an unprimeable number, because it can be changed into a prime (1864450536007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2265431589 + ... + 2265432411.

It is an arithmetic number, because the mean of its divisors is an integer number (7603409736).

Almost surely, 2^{1864450536000} is an apocalyptic number.

1864450536000 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 1864450536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406327561728).

1864450536000 is an abundant number, since it is smaller than the sum of its proper divisors (4948204587456).

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

1864450536000 is a wasteful number, since it uses less digits than its factorization.

1864450536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 1864450536000 in words is "one trillion, eight hundred sixty-four billion, four hundred fifty million, five hundred thirty-six thousand".