1434284083456 has 405 divisors, whose sum is σ = 3636756063549. Its totient is φ = 562898681856.

The previous prime is 1434284083451. The next prime is 1434284083471. The reversal of 1434284083456 is 6543804824341.

The square root of 1434284083456 is 1197616.

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

It can be written as a sum of positive squares in 7 ways, for example, as 95209273600 + 1339074809856 = 308560^2 + 1157184^2 .

It is not an unprimeable number, because it can be changed into a prime (1434284083451) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 38764434670 + ... + 38764434706.

Almost surely, 2^{1434284083456} is an apocalyptic number.

1434284083456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1434284083456 is the 1197616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434284083456

1434284083456 is an abundant number, since it is smaller than the sum of its proper divisors (2202471980093).

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

1434284083456 is an frugal number, since it uses more digits than its factorization.

1434284083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 52.

The spelling of 1434284083456 in words is "one trillion, four hundred thirty-four billion, two hundred eighty-four million, eighty-three thousand, four hundred fifty-six".