21110452461 has 96 divisors (see below), whose sum is σ = 36481536000. Its totient is φ = 11514234240.

The previous prime is 21110452427. The next prime is 21110452463. The reversal of 21110452461 is 16425401112.

21110452461 is a `hidden beast` number, since 21 + 110 + 4 + 524 + 6 + 1 = 666.

It is not a de Polignac number, because 21110452461 - 2⁶ = 21110452397 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110452463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26029746 + ... + 26030556.

It is an arithmetic number, because the mean of its divisors is an integer number (380016000).

Almost surely, 2^21110452461 is an apocalyptic number.

21110452461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21110452461 is a deficient number, since it is larger than the sum of its proper divisors (15371083539).

21110452461 is a wasteful number, since it uses less digits than its factorization.

21110452461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 21110452461 its reverse (16425401112), we get a palindrome (37535853573).

The spelling of 21110452461 in words is "twenty-one billion, one hundred ten million, four hundred fifty-two thousand, four hundred sixty-one".