788649436081248 has 192 divisors, whose sum is σ = 2469574718456832. Its totient is φ = 215465252935680.

The previous prime is 788649436081217. The next prime is 788649436081261. The reversal of 788649436081248 is 842180634946887.

It is a congruent number.

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, 42435538 + ... + 58121198.

It is an arithmetic number, because the mean of its divisors is an integer number (12862368325296).

Almost surely, 2^{788649436081248} 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 788649436081248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234787359228416).

788649436081248 is an abundant number, since it is smaller than the sum of its proper divisors (1680925282375584).

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

788649436081248 is a wasteful number, since it uses less digits than its factorization.

788649436081248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15688957 (or 15688949 counting only the distinct ones).

The product of its (nonzero) digits is 3567255552, while the sum is 78.

The spelling of 788649436081248 in words is "seven hundred eighty-eight trillion, six hundred forty-nine billion, four hundred thirty-six million, eighty-one thousand, two hundred forty-eight".