114015456441 has 32 divisors (see below), whose sum is σ = 169928409600. Its totient is φ = 75553994880.

The previous prime is 114015456421. The next prime is 114015456463. The reversal of 114015456441 is 144654510411.

114015456441 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 5 + 4 + 5 + 644 + 1 = 666.

It is not a de Polignac number, because 114015456441 - 2⁵ = 114015456409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114015456396 and 114015456405.

It is not an unprimeable number, because it can be changed into a prime (114015456421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3578461 + ... + 3610181.

It is an arithmetic number, because the mean of its divisors is an integer number (5310262800).

Almost surely, 2^114015456441 is an apocalyptic number.

It is an amenable number.

114015456441 is a deficient number, since it is larger than the sum of its proper divisors (55912953159).

114015456441 is a wasteful number, since it uses less digits than its factorization.

114015456441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32526 (or 32520 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 114015456441 its reverse (144654510411), we get a palindrome (258669966852).

The spelling of 114015456441 in words is "one hundred fourteen billion, fifteen million, four hundred fifty-six thousand, four hundred forty-one".