688248706609152 has 416 divisors, whose sum is σ = 2218491258701760. Its totient is φ = 209585606492160.

The previous prime is 688248706609073. The next prime is 688248706609223. The reversal of 688248706609152 is 251906607842886.

688248706609152 is a `hidden beast` number, since 6 + 8 + 8 + 2 + 4 + 8 + 7 + 0 + 6 + 609 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136988902 + ... + 141924122.

Almost surely, 2^{688248706609152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688248706609152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109245629350880).

688248706609152 is an abundant number, since it is smaller than the sum of its proper divisors (1530242552092608).

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

688248706609152 is a wasteful number, since it uses less digits than its factorization.

688248706609152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935364 (or 4935336 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 688248706609152 in words is "six hundred eighty-eight trillion, two hundred forty-eight billion, seven hundred six million, six hundred nine thousand, one hundred fifty-two".