1846116481 has 24 divisors (see below), whose sum is σ = 2120365800. Its totient is φ = 1604064000.

The previous prime is 1846116449. The next prime is 1846116509.

It is a happy number.

1846116481 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1342562881 + 503553600 = 36641^2 + 22440^2 .

It is not a de Polignac number, because 1846116481 - 2⁵ = 1846116449 is a prime.

It is a super-2 number, since 2×1846116481² = 6816292122839646722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1846116401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351805 + ... + 357013.

It is an arithmetic number, because the mean of its divisors is an integer number (88348575).

Almost surely, 2^1846116481 is an apocalyptic number.

1846116481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1846116481 is a deficient number, since it is larger than the sum of its proper divisors (274249319).

1846116481 is a wasteful number, since it uses less digits than its factorization.

1846116481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5361 (or 5350 counting only the distinct ones).

The product of its digits is 36864, while the sum is 40.

The square root of 1846116481 is about 42966.4576268512. The cubic root of 1846116481 is about 1226.7414312873.

The spelling of 1846116481 in words is "one billion, eight hundred forty-six million, one hundred sixteen thousand, four hundred eighty-one".