49106116801 has 9 divisors (see below), whose sum is σ = 57125246499. Its totient is φ = 42089627664.

The previous prime is 49106116789. The next prime is 49106116823. The reversal of 49106116801 is 10861160194.

The square root of 49106116801 is 221599.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24007953025 + 25098163776 = 154945^2 + 158424^2 .

It is not a de Polignac number, because 49106116801 - 2¹³ = 49106108609 is a prime.

It is a super-2 number, since 2×49106116801² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49106116001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1535365 + ... + 1567021.

It is an arithmetic number, because the mean of its divisors is an integer number (6347249611).

Almost surely, 2^49106116801 is an apocalyptic number.

49106116801 is the 221599-th square number.

49106116801 is the 110800-th centered octagonal number.

It is an amenable number.

49106116801 is a deficient number, since it is larger than the sum of its proper divisors (8019129698).

49106116801 is an frugal number, since it uses more digits than its factorization.

49106116801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63328 (or 31664 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

Adding to 49106116801 its reverse (10861160194), we get a palindrome (59967276995).

The spelling of 49106116801 in words is "forty-nine billion, one hundred six million, one hundred sixteen thousand, eight hundred one".