978626511296 has 112 divisors (see below), whose sum is σ = 2318755514880. Its totient is φ = 400677995520.

The previous prime is 978626511293. The next prime is 978626511377. The reversal of 978626511296 is 692115626879.

978626511296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×978626511296² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978626511293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8297990 + ... + 8415098.

It is an arithmetic number, because the mean of its divisors is an integer number (20703174240).

Almost surely, 2^978626511296 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 978626511296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159377757440).

978626511296 is an abundant number, since it is smaller than the sum of its proper divisors (1340129003584).

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

978626511296 is a wasteful number, since it uses less digits than its factorization.

978626511296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117962 (or 117952 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 62.

The spelling of 978626511296 in words is "nine hundred seventy-eight billion, six hundred twenty-six million, five hundred eleven thousand, two hundred ninety-six".