1456066968976 has 15 divisors (see below), whose sum is σ = 2821139104161. Its totient is φ = 728031071136.

The previous prime is 1456066968953. The next prime is 1456066968997. The reversal of 1456066968976 is 6798696606541.

The square root of 1456066968976 is 1206676.

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., 567798418576 + 888268550400 = 753524^2 + 942480^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1456066968899 and 1456066968908.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4675870 + ... + 4977538.

Almost surely, 2^{1456066968976} is an apocalyptic number.

1456066968976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1456066968976 is the 1206676-th square number.

It is an amenable number.

1456066968976 is a deficient number, since it is larger than the sum of its proper divisors (1365072135185).

1456066968976 is an frugal number, since it uses more digits than its factorization.

1456066968976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603346 (or 301671 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 73.

The spelling of 1456066968976 in words is "one trillion, four hundred fifty-six billion, sixty-six million, nine hundred sixty-eight thousand, nine hundred seventy-six".