16810401861 has 72 divisors (see below), whose sum is σ = 27051242400. Its totient is φ = 10051272000.

The previous prime is 16810401847. The next prime is 16810401871.

16810401861 is a `hidden beast` number, since 168 + 10 + 401 + 86 + 1 = 666.

16810401861 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16810401861 - 2⁷ = 16810401733 is a prime.

It is a super-2 number, since 2×16810401861² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16810401871) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34236826 + ... + 34237316.

It is an arithmetic number, because the mean of its divisors is an integer number (375711700).

Almost surely, 2^16810401861 is an apocalyptic number.

16810401861 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16810401861 is a deficient number, since it is larger than the sum of its proper divisors (10240840539).

16810401861 is a wasteful number, since it uses less digits than its factorization.

16810401861 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 16810401861 in words is "sixteen billion, eight hundred ten million, four hundred one thousand, eight hundred sixty-one".