978944694336 has 168 divisors, whose sum is σ = 3209442139904. Its totient is φ = 279469854720.

The previous prime is 978944694263. The next prime is 978944694337. The reversal of 978944694336 is 633496449879.

978944694336 is a `hidden beast` number, since 9 + 7 + 8 + 94 + 469 + 43 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (978944694337) 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, 4864776 + ... + 5062008.

Almost surely, 2^978944694336 is an apocalyptic number.

978944694336 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 978944694336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604721069952).

978944694336 is an abundant number, since it is smaller than the sum of its proper divisors (2230497445568).

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

978944694336 is a wasteful number, since it uses less digits than its factorization.

978944694336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198489 (or 198476 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 978944694336 in words is "nine hundred seventy-eight billion, nine hundred forty-four million, six hundred ninety-four thousand, three hundred thirty-six".