1681414617016 has 64 divisors (see below), whose sum is σ = 3242960582400. Its totient is φ = 816839520000.

The previous prime is 1681414617013. The next prime is 1681414617023. The reversal of 1681414617016 is 6107164141861.

It is a super-2 number, since 2×1681414617016² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681414617013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69840261 + ... + 69864331.

It is an arithmetic number, because the mean of its divisors is an integer number (50671259100).

Almost surely, 2^{1681414617016} is an apocalyptic number.

It is an amenable number.

1681414617016 is a deficient number, since it is larger than the sum of its proper divisors (1561545965384).

1681414617016 is a wasteful number, since it uses less digits than its factorization.

1681414617016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25180 (or 25176 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

Adding to 1681414617016 its reverse (6107164141861), we get a palindrome (7788578758877).

The spelling of 1681414617016 in words is "one trillion, six hundred eighty-one billion, four hundred fourteen million, six hundred seventeen thousand, sixteen".