102808806496704 has 2240 divisors, whose sum is σ = 409223065728000. Its totient is φ = 25298134202880.

The previous prime is 102808806496691. The next prime is 102808806496709. The reversal of 102808806496704 is 407694608808201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 102808806496704 = 5852³ + 46816³ = 26334³ + 43890³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102808806496709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5410989815607 + ... + 5410989815625.

Almost surely, 2^{102808806496704} is an apocalyptic number.

102808806496704 is a gapful number since it is divisible by the number (14) 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 102808806496704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204611532864000).

102808806496704 is an abundant number, since it is smaller than the sum of its proper divisors (306414259231296).

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

102808806496704 is an frugal number, since it uses more digits than its factorization.

102808806496704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 102808806496704 in words is "one hundred two trillion, eight hundred eight billion, eight hundred six million, four hundred ninety-six thousand, seven hundred four".