1681514016 has 192 divisors, whose sum is σ = 5511131136. Its totient is φ = 437068800.

The previous prime is 1681513993. The next prime is 1681514039. The reversal of 1681514016 is 6104151861.

It is an interprime number because it is at equal distance from previous prime (1681513993) and next prime (1681514039).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618901 + ... + 621611.

It is an arithmetic number, because the mean of its divisors is an integer number (28703808).

Almost surely, 2^1681514016 is an apocalyptic number.

1681514016 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 1681514016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755565568).

1681514016 is an abundant number, since it is smaller than the sum of its proper divisors (3829617120).

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

1681514016 is a wasteful number, since it uses less digits than its factorization.

1681514016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1681514016 is about 41006.2680086837. The cubic root of 1681514016 is about 1189.1413941611.

Adding to 1681514016 its reverse (6104151861), we get a palindrome (7785665877).

The spelling of 1681514016 in words is "one billion, six hundred eighty-one million, five hundred fourteen thousand, sixteen".