978449482512 has 240 divisors, whose sum is σ = 2896233200640. Its totient is φ = 307858295808.

The previous prime is 978449482501. The next prime is 978449482531. The reversal of 978449482512 is 215284944879.

978449482512 is a `hidden beast` number, since 9 + 78 + 4 + 4 + 9 + 48 + 2 + 512 = 666.

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

Its product of digits (46448640) is a multiple of the sum of its prime factors (5670).

It is a self number, because there is not a number n which added to its sum of digits gives 978449482512.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219233593 + ... + 219238055.

It is an arithmetic number, because the mean of its divisors is an integer number (12067638336).

Almost surely, 2^978449482512 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 978449482512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448116600320).

978449482512 is an abundant number, since it is smaller than the sum of its proper divisors (1917783718128).

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

978449482512 is a wasteful number, since it uses less digits than its factorization.

978449482512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5670 (or 5661 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 978449482512 in words is "nine hundred seventy-eight billion, four hundred forty-nine million, four hundred eighty-two thousand, five hundred twelve".