1308763456144 has 45 divisors (see below), whose sum is σ = 2559379074889. Its totient is φ = 648334480640.

The previous prime is 1308763456139. The next prime is 1308763456153. The reversal of 1308763456144 is 4416543678031.

The square root of 1308763456144 is 1144012.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23061459600 + 1285701996544 = 151860^2 + 1133888^2 .

It is a super-2 number, since 2×1308763456144² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1308763456091 and 1308763456100.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 517092159 + ... + 517094689.

Almost surely, 2^{1308763456144} is an apocalyptic number.

1308763456144 is the 1144012-nd square number.

It is an amenable number.

1308763456144 is a deficient number, since it is larger than the sum of its proper divisors (1250615618745).

1308763456144 is an frugal number, since it uses more digits than its factorization.

1308763456144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 1308763456144 in words is "one trillion, three hundred eight billion, seven hundred sixty-three million, four hundred fifty-six thousand, one hundred forty-four".