654531141135456 has 192 divisors, whose sum is σ = 2056028661086400. Its totient is φ = 201381505302528.

The previous prime is 654531141135433. The next prime is 654531141135499.

654531141135456 is a `hidden beast` number, since 6 + 5 + 4 + 5 + 3 + 11 + 41 + 135 + 456 = 666.

654531141135456 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×654531141135456² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177176130 + ... + 180832638.

It is an arithmetic number, because the mean of its divisors is an integer number (10708482609825).

Almost surely, 2^{654531141135456} 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 654531141135456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028014330543200).

654531141135456 is an abundant number, since it is smaller than the sum of its proper divisors (1401497519950944).

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

654531141135456 is a wasteful number, since it uses less digits than its factorization.

654531141135456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672478 (or 3672464 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 654531141135456 in words is "six hundred fifty-four trillion, five hundred thirty-one billion, one hundred forty-one million, one hundred thirty-five thousand, four hundred fifty-six".