788427230691456 has 512 divisors, whose sum is σ = 2433600080640000. Its totient is φ = 250816460083200.

The previous prime is 788427230691409. The next prime is 788427230691481. The reversal of 788427230691456 is 654196032724887.

788427230691456 is a `hidden beast` number, since 7 + 8 + 8 + 4 + 272 + 306 + 9 + 1 + 45 + 6 = 666.

It is a Smith number, since the sum of its digits (72) 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 (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181289312770 + ... + 181289317118.

It is an arithmetic number, because the mean of its divisors is an integer number (4753125157500).

It is a 1-persistent number, because it is pandigital, but 2⋅788427230691456 = 1576854461382912 is not.

Almost surely, 2^{788427230691456} 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 788427230691456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216800040320000).

788427230691456 is an abundant number, since it is smaller than the sum of its proper divisors (1645172849948544).

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

788427230691456 is a wasteful number, since it uses less digits than its factorization.

788427230691456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9009 (or 8991 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 788427230691456 in words is "seven hundred eighty-eight trillion, four hundred twenty-seven billion, two hundred thirty million, six hundred ninety-one thousand, four hundred fifty-six".