10452389217984 has 448 divisors, whose sum is σ = 35333399162880. Its totient is φ = 2968094638080.

The previous prime is 10452389217983. The next prime is 10452389217997. The reversal of 10452389217984 is 48971298325401.

10452389217984 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 2 + 389 + 2 + 179 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10452389217983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4367900692 + ... + 4367903084.

It is an arithmetic number, because the mean of its divisors is an integer number (78869194560).

Almost surely, 2^{10452389217984} is an apocalyptic number.

10452389217984 is a gapful number since it is divisible by the number (14) 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 10452389217984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17666699581440).

10452389217984 is an abundant number, since it is smaller than the sum of its proper divisors (24881009944896).

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

10452389217984 is a wasteful number, since it uses less digits than its factorization.

10452389217984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 10452389217984 in words is "ten trillion, four hundred fifty-two billion, three hundred eighty-nine million, two hundred seventeen thousand, nine hundred eighty-four".