1802746616896 has 63 divisors (see below), whose sum is σ = 3603626983359. Its totient is φ = 894794254848.

The previous prime is 1802746616873. The next prime is 1802746616903. The reversal of 1802746616896 is 6986166472081.

The square root of 1802746616896 is 1342664.

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

It can be written as a sum of positive squares in 4 ways, for example, as 106667560000 + 1696079056896 = 326600^2 + 1302336^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1686385450 + ... + 1686386518.

Almost surely, 2^{1802746616896} is an apocalyptic number.

1802746616896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1802746616896 is the 1342664-th square number.

It is an amenable number.

1802746616896 is a deficient number, since it is larger than the sum of its proper divisors (1800880366463).

1802746616896 is an frugal number, since it uses more digits than its factorization.

1802746616896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

Multiplying 1802746616896 by its sum of digits (64), we get a square (115375783481344 = 10741312²).

1802746616896 divided by its sum of digits (64) gives a square (28167915889 = 167833²).

The spelling of 1802746616896 in words is "one trillion, eight hundred two billion, seven hundred forty-six million, six hundred sixteen thousand, eight hundred ninety-six".