654658856456 has 64 divisors (see below), whose sum is σ = 1353141840960. Its totient is φ = 294449760000.

The previous prime is 654658856419. The next prime is 654658856473.

It is a happy number.

654658856456 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×654658856456² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15452855 + ... + 15495161.

It is an arithmetic number, because the mean of its divisors is an integer number (21142841265).

Almost surely, 2^654658856456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654658856456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676570920480).

654658856456 is an abundant number, since it is smaller than the sum of its proper divisors (698482984504).

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

654658856456 is a wasteful number, since it uses less digits than its factorization.

654658856456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44166 (or 44162 counting only the distinct ones).

The product of its digits is 829440000, while the sum is 68.

The spelling of 654658856456 in words is "six hundred fifty-four billion, six hundred fifty-eight million, eight hundred fifty-six thousand, four hundred fifty-six".