978816220416 has 144 divisors (see below), whose sum is σ = 2898117449920. Its totient is φ = 325867898880.

The previous prime is 978816220409. The next prime is 978816220423. The reversal of 978816220416 is 614022618879.

It is a happy number.

978816220416 is a `hidden beast` number, since 9 + 7 + 8 + 8 + 1 + 622 + 0 + 4 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (978816220409) and next prime (978816220423).

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5518326 + ... + 5692938.

Almost surely, 2^978816220416 is an apocalyptic number.

978816220416 is a gapful number since it is divisible by the number (96) 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 978816220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449058724960).

978816220416 is an abundant number, since it is smaller than the sum of its proper divisors (1919301229504).

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

978816220416 is a wasteful number, since it uses less digits than its factorization.

978816220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175449 (or 175429 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 978816220416 in words is "nine hundred seventy-eight billion, eight hundred sixteen million, two hundred twenty thousand, four hundred sixteen".