654135531456 has 224 divisors, whose sum is σ = 2001661102080. Its totient is φ = 186643353600.

The previous prime is 654135531451. The next prime is 654135531557.

654135531456 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654135531451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2287450 + ... + 2557478.

Almost surely, 2^654135531456 is an apocalyptic number.

654135531456 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 654135531456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000830551040).

654135531456 is an abundant number, since it is smaller than the sum of its proper divisors (1347525570624).

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

654135531456 is a wasteful number, since it uses less digits than its factorization.

654135531456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270123 (or 270113 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 48.

The spelling of 654135531456 in words is "six hundred fifty-four billion, one hundred thirty-five million, five hundred thirty-one thousand, four hundred fifty-six".