1688349436488 has 864 divisors, whose sum is σ = 5708083530240. Its totient is φ = 449729280000.

The previous prime is 1688349436441. The next prime is 1688349436541. The reversal of 1688349436488 is 8846349438861.

1688349436488 is a `hidden beast` number, since 1 + 6 + 88 + 34 + 9 + 4 + 36 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3240593668 + ... + 3240594188.

It is an arithmetic number, because the mean of its divisors is an integer number (6606578160).

Almost surely, 2^{1688349436488} is an apocalyptic number.

1688349436488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1688349436488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854041765120).

1688349436488 is an abundant number, since it is smaller than the sum of its proper divisors (4019734093752).

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

1688349436488 is a wasteful number, since it uses less digits than its factorization.

1688349436488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 652 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 72.

The spelling of 1688349436488 in words is "one trillion, six hundred eighty-eight billion, three hundred forty-nine million, four hundred thirty-six thousand, four hundred eighty-eight".