1685744914896 has 480 divisors, whose sum is σ = 5683476734208. Its totient is φ = 473776128000.

The previous prime is 1685744914891. The next prime is 1685744914907. The reversal of 1685744914896 is 6984194475861.

1685744914896 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 7 + 4 + 491 + 48 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1685744914891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 421328896 + ... + 421332896.

Almost surely, 2^{1685744914896} is an apocalyptic number.

1685744914896 is a gapful number since it is divisible by the number (16) 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 1685744914896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841738367104).

1685744914896 is an abundant number, since it is smaller than the sum of its proper divisors (3997731819312).

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

1685744914896 is a wasteful number, since it uses less digits than its factorization.

1685744914896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4263 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 1685744914896 in words is "one trillion, six hundred eighty-five billion, seven hundred forty-four million, nine hundred fourteen thousand, eight hundred ninety-six".