121664457 has 32 divisors (see below), whose sum is σ = 189941760. Its totient is φ = 76816080.

The previous prime is 121664453. The next prime is 121664479. The reversal of 121664457 is 754466121.

121664457 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 644 + 5 + 7 = 666.

It is not a de Polignac number, because 121664457 - 2² = 121664453 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121664453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65532 + ... + 67362.

It is an arithmetic number, because the mean of its divisors is an integer number (5935680).

Almost surely, 2^121664457 is an apocalyptic number.

It is an amenable number.

121664457 is a deficient number, since it is larger than the sum of its proper divisors (68277303).

121664457 is a wasteful number, since it uses less digits than its factorization.

121664457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1964 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 121664457 is about 11030.1612408885. The cubic root of 121664457 is about 495.5124536835.

The spelling of 121664457 in words is "one hundred twenty-one million, six hundred sixty-four thousand, four hundred fifty-seven".