1787815016464 has 135 divisors (see below), whose sum is σ = 3682664455197. Its totient is φ = 840763449600.

The previous prime is 1787815016461. The next prime is 1787815016521. The reversal of 1787815016464 is 4646105187871.

The square root of 1787815016464 is 1337092.

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., 86146946064 + 1701668070400 = 293508^2 + 1304480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1787815016399 and 1787815016408.

It is not an unprimeable number, because it can be changed into a prime (1787815016461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6797775597 + ... + 6797775859.

Almost surely, 2^{1787815016464} is an apocalyptic number.

1787815016464 is the 1337092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1787815016464

1787815016464 is an abundant number, since it is smaller than the sum of its proper divisors (1894849438733).

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

1787815016464 is an frugal number, since it uses more digits than its factorization.

1787815016464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 58.

The spelling of 1787815016464 in words is "one trillion, seven hundred eighty-seven billion, eight hundred fifteen million, sixteen thousand, four hundred sixty-four".