1429947206416 has 45 divisors (see below), whose sum is σ = 2802836376181. Its totient is φ = 706729730432.

The previous prime is 1429947206329. The next prime is 1429947206447. The reversal of 1429947206416 is 6146027499241.

The square root of 1429947206416 is 1195804.

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., 274580192016 + 1155367014400 = 524004^2 + 1074880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 425704545 + ... + 425707903.

Almost surely, 2^{1429947206416} is an apocalyptic number.

1429947206416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1429947206416 is the 1195804-th square number.

It is an amenable number.

1429947206416 is a deficient number, since it is larger than the sum of its proper divisors (1372889169765).

1429947206416 is an frugal number, since it uses more digits than its factorization.

1429947206416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6904 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 1429947206416 in words is "one trillion, four hundred twenty-nine billion, nine hundred forty-seven million, two hundred six thousand, four hundred sixteen".