23035478621841 has 405 divisors, whose sum is σ = 43216368612417. Its totient is φ = 12191571584640.

The previous prime is 23035478621803. The next prime is 23035478621867. The reversal of 23035478621841 is 14812687453032.

The square root of 23035478621841 is 4799529.

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

23035478621841 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 5 + 4 + 7 + 8 + 621 + 8 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4902393798225 + 18133084823616 = 2214135^2 + 4258296^2 .

It is not a de Polignac number, because 23035478621841 - 2²¹ = 23035476524689 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23035478621041) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 324443360836 + ... + 324443360906.

Almost surely, 2^{23035478621841} is an apocalyptic number.

23035478621841 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23035478621841 is the 4799529-th square number.

23035478621841 is the 2399765-th centered octagonal number.

It is an amenable number.

23035478621841 is a deficient number, since it is larger than the sum of its proper divisors (20180889990576).

23035478621841 is an frugal number, since it uses more digits than its factorization.

23035478621841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 23035478621841 in words is "twenty-three trillion, thirty-five billion, four hundred seventy-eight million, six hundred twenty-one thousand, eight hundred forty-one".