120446188211457 has 48 divisors (see below), whose sum is σ = 180528416859648. Its totient is φ = 77301214341120.

The previous prime is 120446188211443. The next prime is 120446188211471. The reversal of 120446188211457 is 754112881644021.

120446188211457 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 4 + 6 + 188 + 2 + 1 + 1 + 457 = 666.

It is an interprime number because it is at equal distance from previous prime (120446188211443) and next prime (120446188211471).

It is not a de Polignac number, because 120446188211457 - 2³⁰ = 120445114469633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120446188211057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1973623578 + ... + 1973684604.

It is an arithmetic number, because the mean of its divisors is an integer number (3761008684576).

Almost surely, 2^{120446188211457} is an apocalyptic number.

It is an amenable number.

120446188211457 is a deficient number, since it is larger than the sum of its proper divisors (60082228648191).

120446188211457 is a wasteful number, since it uses less digits than its factorization.

120446188211457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97910 (or 97907 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 120446188211457 in words is "one hundred twenty trillion, four hundred forty-six billion, one hundred eighty-eight million, two hundred eleven thousand, four hundred fifty-seven".