14457680858961 has 16 divisors (see below), whose sum is σ = 22678715073600. Its totient is φ = 9071486028864.

The previous prime is 14457680858923. The next prime is 14457680858981. The reversal of 14457680858961 is 16985808675441.

It is a happy number.

14457680858961 is a `hidden beast` number, since 1 + 4 + 457 + 6 + 8 + 0 + 85 + 8 + 96 + 1 = 666.

14457680858961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14457680858961 - 2¹⁸ = 14457680596817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14457680858961.

It is not an unprimeable number, because it can be changed into a prime (14457680858981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15749107231 + ... + 15749108148.

It is an arithmetic number, because the mean of its divisors is an integer number (1417419692100).

Almost surely, 2^{14457680858961} is an apocalyptic number.

It is an amenable number.

14457680858961 is a deficient number, since it is larger than the sum of its proper divisors (8221034214639).

14457680858961 is a wasteful number, since it uses less digits than its factorization.

14457680858961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31498215405 (or 31498215399 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 14457680858961 in words is "fourteen trillion, four hundred fifty-seven billion, six hundred eighty million, eight hundred fifty-eight thousand, nine hundred sixty-one".