1688337582057 has 96 divisors (see below), whose sum is σ = 3023481077760. Its totient is φ = 887281879680.

The previous prime is 1688337582047. The next prime is 1688337582073. The reversal of 1688337582057 is 7502857338861.

1688337582057 is a `hidden beast` number, since 1 + 68 + 83 + 375 + 82 + 0 + 57 = 666.

It is not a de Polignac number, because 1688337582057 - 2⁶ = 1688337581993 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1688337581985 and 1688337582003.

It is not an unprimeable number, because it can be changed into a prime (1688337582007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2835544 + ... + 3378902.

It is an arithmetic number, because the mean of its divisors is an integer number (31494594560).

Almost surely, 2^{1688337582057} is an apocalyptic number.

It is an amenable number.

1688337582057 is a deficient number, since it is larger than the sum of its proper divisors (1335143495703).

1688337582057 is a wasteful number, since it uses less digits than its factorization.

1688337582057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543483 (or 543480 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 1688337582057 in words is "one trillion, six hundred eighty-eight billion, three hundred thirty-seven million, five hundred eighty-two thousand, fifty-seven".