1002433478656 has 51 divisors (see below), whose sum is σ = 2005364411143. Its totient is φ = 501088583680.

The previous prime is 1002433478609. The next prime is 1002433478663. The reversal of 1002433478656 is 6568743342001.

The square root of 1002433478656 is 1001216.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 256309341 + ... + 256313251.

Almost surely, 2^{1002433478656} is an apocalyptic number.

1002433478656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1002433478656 is the 1001216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002433478656

1002433478656 is an abundant number, since it is smaller than the sum of its proper divisors (1002930932487).

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

1002433478656 is an frugal number, since it uses more digits than its factorization.

1002433478656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7854 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

Multiplying 1002433478656 by its sum of digits (49), we get a square (49119240454144 = 7008512²).

It can be divided in two parts, 1002433 and 478656, that added together give a square (1481089 = 1217²).

The spelling of 1002433478656 in words is "one trillion, two billion, four hundred thirty-three million, four hundred seventy-eight thousand, six hundred fifty-six".