578661978144 has 192 divisors, whose sum is σ = 1609857220608. Its totient is φ = 181701273600.

The previous prime is 578661978137. The next prime is 578661978161. The reversal of 578661978144 is 441879166875.

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, 56488287 + ... + 56498529.

It is an arithmetic number, because the mean of its divisors is an integer number (8384673024).

Almost surely, 2^578661978144 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 578661978144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804928610304).

578661978144 is an abundant number, since it is smaller than the sum of its proper divisors (1031195242464).

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

578661978144 is a wasteful number, since it uses less digits than its factorization.

578661978144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10791 (or 10783 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 66.

The spelling of 578661978144 in words is "five hundred seventy-eight billion, six hundred sixty-one million, nine hundred seventy-eight thousand, one hundred forty-four".