654464464464456 has 192 divisors, whose sum is σ = 1781535861705600. Its totient is φ = 217047410141184.

The previous prime is 654464464464403. The next prime is 654464464464457.

654464464464456 is a `hidden beast` number, since 6 + 5 + 4 + 4 + 64 + 4 + 64 + 464 + 45 + 6 = 666.

654464464464456 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×654464464464456⁴ (a number of 60 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (654464464464457) 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 47 ways as a sum of consecutive naturals, for example, 15740243875 + ... + 15740285453.

It is an arithmetic number, because the mean of its divisors is an integer number (9278832613050).

Almost surely, 2^{654464464464456} is an apocalyptic number.

It is an amenable number.

654464464464456 is an abundant number, since it is smaller than the sum of its proper divisors (1127071397241144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

654464464464456 is a wasteful number, since it uses less digits than its factorization.

654464464464456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43428 (or 43421 counting only the distinct ones).

The product of its digits is 12740198400, while the sum is 72.

The spelling of 654464464464456 in words is "six hundred fifty-four trillion, four hundred sixty-four billion, four hundred sixty-four million, four hundred sixty-four thousand, four hundred fifty-six".