978482114073600 has 264 divisors, whose sum is σ = 3234128449102848. Its totient is φ = 260912902963200.

The previous prime is 978482114073593. The next prime is 978482114073617. The reversal of 978482114073600 is 6370411284879.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1308374977 + ... + 1309122623.

It is an arithmetic number, because the mean of its divisors is an integer number (12250486549632).

Almost surely, 2^{978482114073600} 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 978482114073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617064224551424).

978482114073600 is an abundant number, since it is smaller than the sum of its proper divisors (2255646335029248).

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

978482114073600 is a wasteful number, since it uses less digits than its factorization.

978482114073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764721 (or 764698 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 978482114073600 in words is "nine hundred seventy-eight trillion, four hundred eighty-two billion, one hundred fourteen million, seventy-three thousand, six hundred".