654756657456 has 160 divisors (see below), whose sum is σ = 1893690938880. Its totient is φ = 193262745600.

The previous prime is 654756657437. The next prime is 654756657461.

654756657456 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 31 ways as a sum of consecutive naturals, for example, 3218740 + ... + 3416108.

It is an arithmetic number, because the mean of its divisors is an integer number (11835568368).

Almost surely, 2^654756657456 is an apocalyptic number.

654756657456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654756657456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946845469440).

654756657456 is an abundant number, since it is smaller than the sum of its proper divisors (1238934281424).

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

654756657456 is a wasteful number, since it uses less digits than its factorization.

654756657456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197555 (or 197549 counting only the distinct ones).

The product of its digits is 635040000, while the sum is 66.

The spelling of 654756657456 in words is "six hundred fifty-four billion, seven hundred fifty-six million, six hundred fifty-seven thousand, four hundred fifty-six".