16416137601 has 12 divisors (see below), whose sum is σ = 25107034212. Its totient is φ = 10300321536.

The previous prime is 16416137597. The next prime is 16416137609. The reversal of 16416137601 is 10673161461.

16416137601 is a `hidden beast` number, since 1 + 6 + 4 + 16 + 1 + 37 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12845955600 + 3570182001 = 113340^2 + 59751^2 .

It is not a de Polignac number, because 16416137601 - 2² = 16416137597 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16416137609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53647356 + ... + 53647661.

It is an arithmetic number, because the mean of its divisors is an integer number (2092252851).

Almost surely, 2^16416137601 is an apocalyptic number.

It is an amenable number.

16416137601 is a deficient number, since it is larger than the sum of its proper divisors (8690896611).

16416137601 is a wasteful number, since it uses less digits than its factorization.

16416137601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107295040 (or 107295037 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 16416137601 in words is "sixteen billion, four hundred sixteen million, one hundred thirty-seven thousand, six hundred one".