982145260656 has 240 divisors, whose sum is σ = 3309537104640. Its totient is φ = 265610741760.

The previous prime is 982145260643. The next prime is 982145260687. The reversal of 982145260656 is 656062541289.

982145260656 is a `hidden beast` number, since 9 + 8 + 21 + 4 + 5 + 2 + 606 + 5 + 6 = 666.

982145260656 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 22405096 + ... + 22448888.

It is an arithmetic number, because the mean of its divisors is an integer number (13789737936).

Almost surely, 2^982145260656 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 982145260656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654768552320).

982145260656 is an abundant number, since it is smaller than the sum of its proper divisors (2327391843984).

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

982145260656 is a wasteful number, since it uses less digits than its factorization.

982145260656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45004 (or 44995 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 982145260656 in words is "nine hundred eighty-two billion, one hundred forty-five million, two hundred sixty thousand, six hundred fifty-six".