456444101444655 has 64 divisors (see below), whose sum is σ = 810114080762880. Its totient is φ = 218413109376000.

The previous prime is 456444101444603. The next prime is 456444101444657. The reversal of 456444101444655 is 556444101444654.

It is not a de Polignac number, because 456444101444655 - 2⁸ = 456444101444399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 456444101444595 and 456444101444604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456444101444657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344055606 + ... + 345379715.

It is an arithmetic number, because the mean of its divisors is an integer number (12658032511920).

Almost surely, 2^{456444101444655} is an apocalyptic number.

456444101444655 is a deficient number, since it is larger than the sum of its proper divisors (353669979318225).

456444101444655 is a wasteful number, since it uses less digits than its factorization.

456444101444655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689435472.

The product of its (nonzero) digits is 73728000, while the sum is 57.

Subtracting 456444101444655 from its reverse (556444101444654), we obtain a palindrome (99999999999999).

The spelling of 456444101444655 in words is "four hundred fifty-six trillion, four hundred forty-four billion, one hundred one million, four hundred forty-four thousand, six hundred fifty-five".