1456553010660 has 192 divisors, whose sum is σ = 4460864728320. Its totient is φ = 352172113920.

The previous prime is 1456553010631. The next prime is 1456553010677. The reversal of 1456553010660 is 660103556541.

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, 514136604 + ... + 514139436.

It is an arithmetic number, because the mean of its divisors is an integer number (23233670460).

Almost surely, 2^{1456553010660} is an apocalyptic number.

1456553010660 is a gapful number since it is divisible by the number (10) 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 1456553010660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230432364160).

1456553010660 is an abundant number, since it is smaller than the sum of its proper divisors (3004311717660).

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

1456553010660 is a wasteful number, since it uses less digits than its factorization.

1456553010660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4638 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 1456553010660 in words is "one trillion, four hundred fifty-six billion, five hundred fifty-three million, ten thousand, six hundred sixty".