1682603311104 has 255 divisors, whose sum is σ = 5035943509003. Its totient is φ = 559871557632.

The previous prime is 1682603311091. The next prime is 1682603311127. The reversal of 1682603311104 is 4011133062861.

The square root of 1682603311104 is 1297152.

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

1682603311104 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 603 + 31 + 1 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2988637927 + ... + 2988638489.

Almost surely, 2^{1682603311104} is an apocalyptic number.

1682603311104 is the 1297152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682603311104

1682603311104 is an abundant number, since it is smaller than the sum of its proper divisors (3353340197899).

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

1682603311104 is an frugal number, since it uses more digits than its factorization.

1682603311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 1682603311104 by its sum of digits (36), we get a square (60573719199744 = 7782912²).

1682603311104 divided by its sum of digits (36) gives a square (46738980864 = 216192²).

1682603311104 divided by its product of nonzero digits (20736) gives a square (81144064 = 9008²).

Adding to 1682603311104 its reverse (4011133062861), we get a palindrome (5693736373965).

The spelling of 1682603311104 in words is "one trillion, six hundred eighty-two billion, six hundred three million, three hundred eleven thousand, one hundred four".