1231682816 has 216 divisors, whose sum is σ = 3142036800. Its totient is φ = 481388544.

The previous prime is 1231682719. The next prime is 1231682843. The reversal of 1231682816 is 6182861321.

1231682816 = 483² + 484² + ... + 1561².

It is a self number, because there is not a number n which added to its sum of digits gives 1231682816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14839511 + ... + 14839593.

Almost surely, 2^1231682816 is an apocalyptic number.

1231682816 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 1231682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571018400).

1231682816 is an abundant number, since it is smaller than the sum of its proper divisors (1910353984).

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

1231682816 is an frugal number, since it uses more digits than its factorization.

1231682816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 105 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 1231682816 is about 35095.3389497808. The cubic root of 1231682816 is about 1071.9296753451.

The spelling of 1231682816 in words is "one billion, two hundred thirty-one million, six hundred eighty-two thousand, eight hundred sixteen".