1466947302976 has 21 divisors (see below), whose sum is σ = 2910992781889. Its totient is φ = 733468806784.

The previous prime is 1466947302973. The next prime is 1466947303051. The reversal of 1466947302976 is 6792037496641.

The square root of 1466947302976 is 1211176.

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., 1375366017600 + 91581285376 = 1172760^2 + 302624^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1466947302973) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9613710 + ... + 9765106.

Almost surely, 2^{1466947302976} is an apocalyptic number.

1466947302976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1466947302976 is the 1211176-th square number.

It is an amenable number.

1466947302976 is a deficient number, since it is larger than the sum of its proper divisors (1444045478913).

1466947302976 is an frugal number, since it uses more digits than its factorization.

1466947302976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302806 (or 151399 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 64.

Multiplying 1466947302976 by its sum of digits (64), we get a square (93884627390464 = 9689408²).

1466947302976 divided by its sum of digits (64) gives a square (22921051609 = 151397²).

The spelling of 1466947302976 in words is "one trillion, four hundred sixty-six billion, nine hundred forty-seven million, three hundred two thousand, nine hundred seventy-six".