1689213046400 has 288 divisors, whose sum is σ = 4664528013600. Its totient is φ = 603839948800.

The previous prime is 1689213046387. The next prime is 1689213046403. The reversal of 1689213046400 is 46403129861.

It is a super-2 number, since 2×1689213046400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (1689213046403) 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 35 ways as a sum of consecutive naturals, for example, 22807829 + ... + 22881771.

It is an arithmetic number, because the mean of its divisors is an integer number (16196277825).

Almost surely, 2^{1689213046400} is an apocalyptic number.

1689213046400 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 1689213046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332264006800).

1689213046400 is an abundant number, since it is smaller than the sum of its proper divisors (2975314967200).

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

1689213046400 is a wasteful number, since it uses less digits than its factorization.

1689213046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74048 (or 74020 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 1689213046400 in words is "one trillion, six hundred eighty-nine billion, two hundred thirteen million, forty-six thousand, four hundred".