1078239473568 has 144 divisors (see below), whose sum is σ = 3074041152000. Its totient is φ = 358500418560.

The previous prime is 1078239473561. The next prime is 1078239473603. The reversal of 1078239473568 is 8653749328701.

1078239473568 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 23 + 9 + 47 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1078239473561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224677633 + ... + 224682431.

It is an arithmetic number, because the mean of its divisors is an integer number (21347508000).

It is a 1-persistent number, because it is pandigital, but 2⋅1078239473568 = 2156478947136 is not.

Almost surely, 2^{1078239473568} is an apocalyptic number.

1078239473568 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 1078239473568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537020576000).

1078239473568 is an abundant number, since it is smaller than the sum of its proper divisors (1995801678432).

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

1078239473568 is a wasteful number, since it uses less digits than its factorization.

1078239473568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6635 (or 6624 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 1078239473568 in words is "one trillion, seventy-eight billion, two hundred thirty-nine million, four hundred seventy-three thousand, five hundred sixty-eight".