11457076641 has 16 divisors (see below), whose sum is σ = 15960357504. Its totient is φ = 7296760064.

The previous prime is 11457076637. The next prime is 11457076643. The reversal of 11457076641 is 14667075411.

It is a happy number.

11457076641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11457076641 - 2² = 11457076637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11457076593 and 11457076602.

It is not an unprimeable number, because it can be changed into a prime (11457076643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49176 + ... + 159161.

It is an arithmetic number, because the mean of its divisors is an integer number (997522344).

Almost surely, 2^11457076641 is an apocalyptic number.

It is an amenable number.

11457076641 is a deficient number, since it is larger than the sum of its proper divisors (4503280863).

11457076641 is a wasteful number, since it uses less digits than its factorization.

11457076641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209160.

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 11457076641 in words is "eleven billion, four hundred fifty-seven million, seventy-six thousand, six hundred forty-one".