654443141344456 has 256 divisors, whose sum is σ = 1346389733283840. Its totient is φ = 297439322019840.

The previous prime is 654443141344409. The next prime is 654443141344477.

654443141344456 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×654443141344456² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 654443141344456.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11442685396 + ... + 11442742588.

It is an arithmetic number, because the mean of its divisors is an integer number (5259334895640).

Almost surely, 2^{654443141344456} is an apocalyptic number.

It is an amenable number.

654443141344456 is an abundant number, since it is smaller than the sum of its proper divisors (691946591939384).

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

654443141344456 is a wasteful number, since it uses less digits than its factorization.

654443141344456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57636 (or 57632 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 58.

The spelling of 654443141344456 in words is "six hundred fifty-four trillion, four hundred forty-three billion, one hundred forty-one million, three hundred forty-four thousand, four hundred fifty-six".