654753357456 has 160 divisors (see below), whose sum is σ = 1994827084800. Its totient is φ = 182887165440.

The previous prime is 654753357431. The next prime is 654753357469.

It is a happy number.

654753357456 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 654753357456.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 510796 + ... + 1253163.

It is an arithmetic number, because the mean of its divisors is an integer number (12467669280).

Almost surely, 2^654753357456 is an apocalyptic number.

654753357456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

654753357456 is an abundant number, since it is smaller than the sum of its proper divisors (1340073727344).

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

654753357456 is a wasteful number, since it uses less digits than its factorization.

654753357456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764037 (or 1764031 counting only the distinct ones).

The product of its digits is 158760000, while the sum is 60.

The spelling of 654753357456 in words is "six hundred fifty-four billion, seven hundred fifty-three million, three hundred fifty-seven thousand, four hundred fifty-six".